Research Interests
Deterministic and stochastic mathematical modeling, analysis, and simulation with applications to popu-
lations, ecosystems, epidemiology, and immunology.
Education
PhD, Mathematics, 1981, University of Tennessee, Knoxville, Advisor: T. G. Hallam.
MS, Mathematics, 1978, University of Tennessee, Knoxville, Advisors: C. E. Clark and D. L. DeAngelis.
BA, Mathematics, 1975, College of St. Scholastica, Duluth, Minnesota.
Professional Experience
Adjunct Graduate Faculty, Department of Mathematics and Statistics, TTU, 2019-current.
Paul Whitfield Horn Professor Emeritus, Department of Mathematics and Statistics, TTU, 2019-current.
Visiting Scholar, Department of Mathematics, University of Kelaniya, Sri Lanka June-July, 2017.
Short Term Visit, National Institute for Mathematical and Biological Synthesis, December 2012.
Paul Whitfield Horn Professor, Department of Mathematics and Statistics, TTU, 2010-2019.
Long Term Visitor, Mathematical Biosciences Institute, Ohio State University, Spring 2006, Spring 2012.
Adjunct Professor, Institute for Environmental and Human Health, TTU, 1999-current.
Assistant 1985-91, Associate 1991-98, Professor 1998-current, Department of Mathematics and Statistics,
TTU.
Assistant Professor, Department of Mathematics, University of North Carolina at Asheville, 1982-1985.
Visiting Assistant Professor, Department of Mathematics, University of Tennessee, Knoxville, 1981-1982.
Research/Teaching Assistant, Department of Mathematics, University of Tennessee, Knoxville, 1975-1981.
Technical Assistant, Environmental Sciences, Oak Ridge National Lab, Oak Ridge, Tennessee, 1977.
Editorial Board, Current Service
Senior Advisory Board, Natural Resource Modelling, 2007-current.
Editorial Board, Journal of Biological Dynamics , 2008-current.
Editorial Board, Infectious Disease Modelling, 2017-current.
Editorial Board, Past Service
Editorial Board, Journal of Difference Equations and Applications , 2007-2020.
Editorial Board, Journal of Theoretical Biology, 2006-2017.
Editorial Board Advisor, Journal of Biological Systems , 2012-2014.
Editorial Board, Mathematical Biosciences and Engineering, 2012-2014.
Editorial Board, Mathematical Biosciences, 2005-2013.
Editorial Board, SIAM Journal of Applied Mathematics , 2007-2010.
Book Review Co-Editor, Journal of Difference Equations and Applications, 2004-2010.
Editorial Board, Discrete and Continuous Dynamical Systems Series B , 2002-2007.
Associate Editor, Journal of Mathematical Systems, Estimation, and Control, 1993 - 1996; Communicating
Editor, 1996 - 1998.
Honors and Awards
1. SIAM Fellow, 2016.
2. AWM-SIAM Sonia Kovalevsky Lecturer 2015, ICIAM-2015, Beijing, China.
3. Texas Tech Integrated Scholar, 2012.
4. Texas Tech Paul Whitfield Horn Professor, 2010.
5. SIAM Graduate Mathematics Professor of the Year, TTU Student Chapter, 1997-1998, 2014-2015.
6. Kappa Mu Epsilon Mathophile Award, Kappa Mu Epsilon, TTU Student Chapter, 2014-2015.
7. Kappa Mu Epsilon Mathematics Professor of the Year, TTU Student Chapter, 2011-2012.
8. Texas Tech Barnie E. Rushing, Jr. Faculty Distinguished Research Award, 2007.
9. Taylor & Frances Best Paper Award 2005 for “SIS epidemic models with multiple pathogen strains”,
Journal of Difference Equations and Applications (2004) with N. Kirupaharan and S. M. Wilson.
10. Outstanding Faculty Mentor, TTU McNair Scholars Program, 1999.
Grants Funded
1. Texas Tech University, State Organized Research Fund Grant, “Mathematical Models for Endangered
Species”. PI: LJS Allen., $1000. 9/1987 - 8/1988.
2. National Science Foundation. “Development and Analysis of Three-Species Epidemic Models”. PI: LJS
Allen. DMS–#9208909. $17,116. 7/1992 - 12/1994.
3. Texas Tech University, “Weed Dispersal”. PI: L. Allen, EJ Allen. , $1384. 5/1993 - 8/1993.
4. Texas Tech Graduate School Summer Research Awards, Faculty Investigator for Doug Hallam (1988);
David Thrasher (1995); Robert McCormack (2004). Research Incentive Award for McNair Scholars Pro-
gram for Ralynn Ernest (1998).
5. Texas Tech University, “Undergraduate Mathematics Course for Biological Sciences Students”. PI: L.
Allen. $2009. 1996.
6. National Science Foundation. ”Development and Analysis of Models for the Spread and Control of Weeds
and Infectious Diseases.” PI: LJS Allen, EJ Allen and M McGinley. DMS–#9626417. $88,500. 7/1996 -
8/2000.
7. Texas Tech University, Interdisciplinary/Multidisciplinary Seed Fund Project. “Epidemic Models Applied
to the Study of Disease Evolution in Plant Pathosystems”. PI: LJS Allen, R Strauss. $11,600. 1/2000-
6/2001.
8. Texas Higher Education Coordinating Board, Advanced Research Program. “Occurrence, Frequency,
Duration, Size and Spread of Epidemics in Stochastic Structured Models”. PI: LJS Allen. $33,618.
01/2000-08/2002.
9. National Science Foundation. “Dynamics and Evolution of Emerging Diseases with Applications to Am-
phibians”. PI: LJS Allen, Co-PI: E Allen, S McMurry, M San Francisco, L Rollins-Smith, LM Smith.
DMS–# 0201105. Amount: $915,000. 6/2002-6/2007.
10. Fogarty International Center, NIH-NSF Ecology of Infectious Diseases. “The Impact of Rapid Anthro-
pogenic Land Cover Change in the Chaco and Interior Atlantic Forest in Paraguay on Hantavirus Ecology”.
PI: CB Jonsson, Co-PI: R Owen, LJS Allen, Y Chu, D Goodin, S Hutchinson, E Pontelli, D Ranjan, S
Tran, M Almiron. $1,857,996. 3/2004-4/2008.
11. Texas Higher Education Coordinating Board, Advanced Research Program. “Metapopulation Models for
the Playa Lakes of the Southern High Plains”. PI: LJS Allen, Co-PI: EJ Allen, S McMurry, L Smith.
$47,106. 5/2006-5/2008.
12. National Science Foundation. “Stochastic Metapopulation Models Applied to Amphibians on the Southern
High Plains” and REU Supplement. PI: LJS Allen, Co-PI: EJ Allen, S McMurry, and LM Smith. DMS–
#0718302. $481,774, 9/2007-8/2011.
13. MAA PREP. “Mathematical Modeling in Population Biology and Epidemiology”, PI: SR Jang. Co-PI:
LJS Allen and LIW Roeger. Summers 2009 and 2010.
14. Mathematical Biosciences Institute. Fourth International Conference on Mathematical Modeling and
Analysis of Populations in Biological Systems. PI: LJS Allen, Co-PI: EJ Allen, B Ghosh, A Ibragimov, N
McIntyre, SR Jang, L Roeger and R Strauss. $5000. 9/01/2013-8/31/2014.
15. National Science Foundation. “Fourth International Conference on Mathematical Modeling and Analysis
of Populations in Biological Systems”. PI: LJS Allen, Co-PI: EJ Allen, N McIntyre, SR Jang, and LIW
Roeger. Senior Personnel: A Ibragimov and R Strauss. DMS–#1338501. $19,000. 9/01/2013-8/31/2014.
16. National Science Foundation. “Collaborative Research: Modeling Immune Dynamics of RNA Viruses
In Reservoir and Nonreservoir Species”. PI: LJS Allen. Co-PI: A Trindade. Collaborators: C Jonsson
(UTMHSC) and M Kosiewicz (UofL). TTU Award DMS–#1517719. $349,803. 9/01/2015-8/31/2020.
17. American Institute of Mathematics. SQuaRE: Superspreaders and their role in epidemics: a stochastic
modeling approach. PIs: LJS Allen, CE Edholm, A Murillo, X Wang. First Meeting, Palo Alto, CA,
1/27/2019-2/1/ 2019; Second Meeting: 6/21/2021-6/25/2021.
18. National Science Foundation: Workshop “Scientific Computing meets Machine Learning and Life Sci-
ences”. Award DMS–#1921366. PI: C Wang, Co-PI: LJS Allen, R Hewett, J Su. $25,500. 7/01/2019-
6/30/2020.
19. National Science Foundation. “XVIII Red Raider Mini-Symposium: Modeling in a Heterogeneous World”.
1956396. PI: A Peace, Co-PI: LJS Allen, J Padgett, KA Schmidt, W Zhang. Award DMS–#1956396.
$17,750, 3/01/2020-2/28/2022.
20. National Science Foundation. “REU Site: Mathematical, Statistical and Computational Methods for
Problems in the Life Sciences”. PI: C Wang (yr1), L Ellingson (yrs 2,3), Co-PI: LJS Allen, Senior
Personnel: A Ibragimov, A Peace. DMS–#2050133. $275,585. 4/1/2021-3/31/2024
Post-Graduate Student Supervision
1. Wenjing Zhang, Teaching Postdoctoral Fellow, 2016–2017. Current position: Assistant Professor, Texas
Tech University.
2. Fan Bai, NSF Research Postdoctoral Fellow, 2016–2018. Current position: Postdoctoral Associate, Haus-
dorff Center for Mathematics, Universit¨ at Bonn, Germany.
Graduate Student Supervision - PhD Students:
1. Jacob Kesinger. Dissertation: “Mathematical Models for Host-Pathogen Genetics in Plant Pathosystems”,
PhD December 2001. Current position: National Security Agency.
2. Nadarajah Kirupaharan. Dissertation: “Deterministic and Stochastic Epidemic Models with Multiple
Pathogens”, PhD August 2003. Current position: Associate Professor at Borough of Manhattan Commu-
nity College, The City University of New York.
3. Keith E. Emmert. Dissertation: “Deterministic and Stochastic Discrete-Time Epidemic Models with
Applications to Amphibians”. PhD August 2004. Current position: Professor at Tarleton State University,
Stephenville, Texas.
4. Robert McCormack. Dissertation: “Multi-host and multi-patch mathematical models of disease emergence
with applications to hantavirus in wild rodent populations”. PhD August 2006. Current position: Principal
Mathematician and Deputy Director, Performance Assessment Technologies at Aptima, Inc.
5. Curtis L. Wesley. Dissertation: “Discrete-Time and Continuous-Time Epidemic Models with Applications
to the Spread of Hantavirus in Wild Rodents and Human Populations”, PhD August 2008. Current
position: Associate Professor at LeTourneau University, Longview, Texas.
6. Amy Drew Ekanayake. Dissertation: “Stochastic Metapopulation Models and Watershed Estimates for
Playas on the Southern High Plains”, PhD August 2009. Current position: Professor at Western Illinois
University, MaComb, Illinois.
7. Don Kumudu Mallawa Arachchi. “Stability and Permanence in Gender- and Stage-Structured Discrete-
Time Models for the Boreal Toad in Single or Multiple Habitats, and a Stochastic Model for the Hydrope-
riod of Playas on the Southern High Plains”, PhD December 2009. Current position: Visiting Assistant
Professor at Clarkson University.
8. Glenn Lahodny, Jr. “Persistence and extinction of disease in stochastic epidemic models and dynamically
consistent discrete Lotka-Volterra competition models”, PhD August 2012. Co-Chair: L. Roeger. Current
position: Instructional Assistant Professor at Texas A&M University.
9. Sukhitha Vidurupola. “Mathematical Models for Bacteriophage Dynamics Applicable to Phage Therapy”,
PhD August 2013. Current position: Associate Professor at Rogers State University, Oklahoma.
10. Krystin Steelman Huff. “Modeling the Early Stages of Within-Host Viral Infection and Clinical Progression
of Hantavirus Pulmonary Syndrome”. Co-Chair: Edward Allen. PhD May 2018. Current position:
Consultant at Booz/Allen/Hamilton.
11. Aadrita Nandi. “Stochastic Models of Emerging or Re-emerging Infectious Diseases: Probability of Out-
break, Duration and Final Size”. PhD August 2019. Current position: Postdoctoral Associate at Univer-
sity of Michigan.
12. Kaniz Fatema Nipa. “Effects of Demographic, Environmental and Seasonal Variability on Disease Out-
breaks in Stochastic Vector-host, Multi-patch and Dengue Epidemic Models”. Co-Chair: Sophia Jang.
PhD August 2020. Current position: Postdoctoral Associate at University of Georgia.
13. Fahad Bin Mostafa. Current Ph.D Student. Co-Advisor.
Master’s Students:
1. Douglas Hallam. Report: “A mathematical model of the population dynamics of the Brazos water snake”,
MS, December 1988.
2. Martha Jones. Report: “A deterministic mathematical model of a measles epidemic”, MA, May 1990.
3. Mary K. Arthur. Report: “Development and mathematical analysis of a model for the grape vine and
apple twig borer system”, MA, December 1991.
4. Dingyuan Lu. Thesis: “Statistical Analysis of adolescent behaviors: sleep behavior, self-esteem, and
suicidal ideation”, MS, August 1993. Co-Advisor: T Lewis.
5. Deanna Dick. Thesis: “Development and analysis of a three-species epizootic model”, MS, December
1993. Co-Advisor: C. Martin.
6. Kim McGowan. Thesis: “Models for Sarcoptic Mange in Canis Latrans”, M. S., May 1994. Co-Advisor:
C. Martin.
7. Paul Dacus. Thesis: “Statistical Analysis of Juvenile Delinquents Behavior”, M. S., May 1994. Co-Advisor:
T. Lewis.
8. Sudasana Ponweera. Report: “Development and Analysis of a Mathematical Model of Weed Dispersal
and Control”, MS, December 1994. Co-Advisor: EJ Allen.
9. Phyllis Cormier. Thesis: “Modeling Epizootics in Time and Space”, MS, December 1994.
10. Ana Paula Chamon. Report: “The Dynamics of a Plankton Model with Diffusion”, MA, May 1995.
11. Kristin Sumpter. Thesis: “The Dynamics of Some Epidemic Models”, MS, July 1995.
12. David Thrasher. Thesis: “Optimal Vaccination Strategies for the Control of Varicella and Herpes Zoster”,
MS, December 1996.
13. David Atkinson. Thesis: “Mathematical Models for Plant Competition and Dispersal,” MS, May 1997.
14. Amy Burgin. Thesis: “Deterministic and Stochastic Discrete-Time Epidemic Models with Spatial Con-
siderations”, May 1998.
15. Ruwan Ratnayake. Thesis: “Spread of Disease in an Age-Structured Model with Applications to Rabies”,
MS, May 1998.
16. Jacob Kesinger. Thesis: “Integrodifference Equations Applied to Plant Competition and Control,” MS,
May 1998.
17. Garry Block. Thesis: “Deterministic and Stochastic Nonlinear Age-Structured Models”, MS, December
1998.
18. Penelope Misquitta. Thesis: “Duration, Size, and Occurrence of an Epidemic in Single and Multi-Species
Stochastic SI and SIS Models”, MS, May 1999.
19. Sarah Stinnett. Thesis: “Stochastic Models for the Time to the Most Recent Common Ancestor”, MS,
May 1999.
20. Niranjala Perera. Thesis: “Deterministic and Stochastic Models of Virus Dynamics”, MS, December 2003.
21. Kiyomi Kaskela. Thesis: “Deterministic and stochastic structured population models”, MS, August 2004.
22. Robert McCormack. Thesis “Deterministic and stochastic host-pathogen genetics models”, MS, August
2004.
23. Amy Drew. Thesis: “An investigation of climatic and geographic factors on the growth and spread on
amphibian populations in Australia”, MS, December 2004. Co-Advisor: EJ Allen.
24. Yaji Xu. Thesis: “Analysis and modeling of an influenza epidemic with drug resistance”, MS August 2006.
25. Chandrani Banerjee. Thesis: “The dynamics of mathematical models for Machupo viral infection in rodent
populations.” MS December 2007.
26. Yuan Yuan. Thesis: “Deterministic and stochastic models for intra-host virus and immune system dy-
namics”, MS August 2010.
27. Sukhitha Vidurupola. Thesis: “Stochastic models for early viral infection within a host”, MS December
2010.
28. Chelsea Lewis. Thesis: “Mathematical models with antibody and cytotoxic T lymphocyte responses due
to hantavirus infections in rodents and humans.” MS August 2011.
29. Kristin Yearkey. Report “A stochastic two patch model for disease propagation”, MS August 2011. Co-
Advisor: V. Howle.
30. Pooya Aavani. Thesis: “Ordinary and delay differential equation models of viral infection with application
to HIV and hepatitis C virus”, MS August 2012. Report: “The Role of CD4 T Cells in immune system
activation and viral reproduction in a model for HIV infection.” MA November 2014.
31. Mary Hebert. Thesis: “Plant-vector-virus models with vector aggregation applied to cassava mosaic virus.”
MS August 2014.
32. Nathan Conroy. Report: “Comparing extinction probabilities of Galton-Watson processes using analytic
methods.” MA May 2015.
33. Kayla Comeaux. Thesis: “An analysis of deterministic and stochastic models for within-host and between-
host disease dynamics coupled throughout the environment.” MS December 2015.
34. Gregory McKinney. Report: “Continuous-time Markov chain of an SIRV model that exhibits backward
bifurcation”, MS May 2016.
35. Annabel Meade. Report: “Within-Host Models for Hantavirus Immune Response”. MS August 2017.
Undergraduate Student Supervision
1. Pamela Lockwood. Senior Honors Project: “Models for the spread of disease in predator-prey sys-
tems”.1993.
2. Michael Williams. Senior Honors Project: “Public-key and private-key cryptography”, 1996. Awarded a
Mathematical Spectrum Prize for his contribution to Volume 31 of the magazine.
3. Ralynn Ernest. Ronald E. McNair Scholar. Research Project: “The impact of long-range dispersal on the
rate of spread in population models”, 1998.
4. Billy Duke. Ronald E. McNair Scholar. Research Project: “Study of Stochastic Spatial Epidemics”, 2000.
5. David Flores. Research Project: “Spread of rabies in canine populations”, 2000.
6. Sherri Wilson. Senior Honors Project: “Development, analysis, and numerical simulation of stochastic
spatial models to study the spread of an infectious disease”, 2001.
7. Jennifer Tang. Research Project: “Simulation of Amphibian Populations on the Llano Estacado”, Co-
Advisor: EJ Allen, 2008-2009.
8. John Fenske. Research Project: “Stochastic Simulation of Playa Hydroperiod”, 2010.
9. Kaylee Holloway and Robert Wallette. PRISM Research Project: “Bacteriophage versus antibiotic ther-
apy”, 2012-2013.
10. Annabel Offer. PRISM Research Project: “Modeling Hantavirus cytokine activity with stochastic differ-
ential equations”, 2014-2015.
11. Amelia Mason. “Formulation, analysis, and numerical simulation of epidemic models.” 2018-2019.
12. Victoria Nam. “Epidemic modeling and hantavirus viral kinetics”, 2018-2019.
13. Kat Husar (Ohio State U), Dana Pittman (Washington State U), Johnny Rajala (U of Maryland). “Tick-
Mouse Models for Lyme Disease with Seasonal Variations in Births, Deaths, and Tick Feeding”. REU
2021.
Publications
Books
1. Allen, LJS. 2003. An Introduction to Stochastic Processes with Applications to Biology. Prentice Hall,
Upper Saddle River, N.J. (Second Edition, 2010, CRC Press, Boca Raton, Fl.)
2. Allen, LJS. 2007. An Introduction to Mathematical Biology. Prentice Hall, Upper Saddle River, N.J.
3. Allen, LJS. 2015. Stochastic Population and Epidemic Models. Persistence and Extinction. Vol. 1.3,
Mathematical Biosciences Lecture Series, Stochastics in Biological Systems, Springer.
Edited Volumes
1. Difference Equations and Discrete Dynamical Systems. Proceedings of the 9th International Conference.
World Scientific Publishing, 2005. LJS Allen, B Aulbach, S Elaydi, and R Sacker (Editors).
2. Special Issue of Journal of Biological Dynamics . Proceedings of a Special Session at the American Math-
ematical Society Meeting, New Orleans, January 2007. Volume 1, Issue 4, 2007. LJS Allen, S Jang, and
L Roeger (Editors).
3. Special Issue of Mathematical Biosciences and Engineering . In honor of the 70th Birthday of Thomas
G. Hallam. Volume 5, Issue 4, 2008. AS Ackleh, LJS Allen, G Canziani, SM Henson, J Li, and Z Ma
(Editors).
4. Special Issue of Journal of Biological Dynamics. Proceedings of ICMA IV, Texas Tech University, October
2013. Volume 9, Issue 1, 2015. LJS Allen, J Li, and P van den Driessche (Editors).
Refereed / Reviewed Book Chapters / Proceedings / Letters / Arxiv
1. Hallam, TG and LJ Allen. 1982. Diversity and spatial effects on competitive systems. In: Nonlinear
Phenomena in Mathematical Sciences , V Lakshmikantham, (Ed.), pp. 15-24, Academic Press, New York.
2. Allen, LJS 1985. Fuzzy Sets. Consortium The Newsletter of the Consortium for Mathematics and its
Applications. Lexington, MA, December 1985, pp. 3,8.
3. Allen, L, T Lewis, C Martin, R Carpio, M Jones, M. Stamp, G Mundel, and A. Way. 1992. Stochastic
Analysis of Vaccination Strategies. In: Stochastic Theory and Adaptive Control, Lecture Notes in Control
and Information Sciences (T. E. Duncan and B. Pasik-Duncan, Eds.), pp. 1-11, Springer-Verlag, New
York.
4. Allen, LJS, MK Hannigan, and MJ Strauss. 1996. Development and analysis of a mathematical model for
a plant-herbivore system. In: World Congress of Nonlinear Analysts ’92 , Proceedings of the First World
Congress of Nonlinear Analysts, Tampa, Florida, August 19-26,1992. V Lakshmikantham (Ed.), Vol. IV,
pp. 3723-3732. Walter de Gruyter, Berlin and New York.
5. Allen, LJS and EJ Allen. 1999. Mathematical models for the dispersal and control of undesirable plants on
rangeland. Proceedings of the Fifth International Conference on Desert Development, Desert Development:
The Endless Frontier, Vol. I, Lubbock, TX, August, 1996, pp. 488-503.
6. Allen, L and C Martin. 2000. Black Death, AIDS, and Mathematics: What’s the Connection? Lubbock
Magazine, 6(2): 56–61.
7. Allen, LJS and RK Ernest. 2002. The impact of long-range dispersal in population and epidemic mod-
els. “Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods and
Theory.” C. Castillo-Chavez, Sally Blower, P. van den Driessche, D. Kirschner, and A-A. Yakubu (Eds.)
IMA Vol. 125: 183-197.
8. Allen, LJS and JC Kesinger. 2002. Selection in population genetics models of host-pathogen systems.
In: New Trends in Difference Equations . Proceedings of the Fifth International Conference on Difference
Equations, Temuco, Chile, 2000, S Elaydi, J L´ opez Fenner, G Ladas, and M Pinto (Eds.), Taylor and
Francis, London and New York, pp. 15-31.
9. Allen, LJS, EJ Allen, and CB Jonsson. 2006. The impact of environmental variation on hantavirus
infection in rodents. Contemporary Mathematics Series , 410, Proceedings of the Joint Summer Research
Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges. A. B.
Gumel, C. Castillo-Chavez, R. E. Mickens, and D. P. Clemence, Eds. AMS, Providence, RI, pp. 1-15.
10. McCormack, RK and LJS Allen. 2006. Stochastic SIS and SIR multihost epidemic models. Proceedings
of the Conference on Differential & Difference Equations and Applications, RP Agarwal and K Perera,
Eds., Hindawi Pub. Co., pp. 775-786.
11. Allen, LJS 2008. Chapter 3: An Introduction to Stochastic Epidemic Models. Mathematical Epidemiology,
Lecture Notes in Mathematics. Vol. 1945, pp. 81-130, F Brauer, P van den Driessche, and J Wu (Eds.)
Springer.
12. Allen, LJS 2012. Branching Processes. In: Encyclopedia of Theoretical Ecology. A. Hastings and L. Gross
(Eds.) pp. 112-119. University of California Press.
13. Allen, LJS and EJ Allen. 2014. Deterministic and stochastic SIR epidemic models with power function
transmission and recovery rates. AMS Contemporary Mathematics Series Mathematics of Discrete and
Continuous Dynamical Systems: In honour of the 70th birthday of Ronald E. Mickens. A. Gumel, Ed.
618: 1-15.
14. Allen, LJS 2016. Power law incidence rate in epidemic models. Comment on “Mathematical models to
characterize early epidemic growth: A review” by Gerardo Chowell et al. Physics for Life Reviews . 18:
98-99.
15. Goodin, DG, CB Jonsson, LJS Allen, and RD Owen. 2018. Integrating landscape hierarchies in the
discovery and modeling of ecological drivers of zoonotically transmitted disease from wildlife. In: The
Connections Between Ecology and Infectious Disease . Book series: Advances in Environmental Microbi-
ology. Vol. 5, C. J. Hurst (Ed.) pp. 299–317.
16. Allen, EJ, LJS Allen, and A Van Fleet. 2018. Some observations on surveying horned lizards in Dickens
County, Texas from 1997 to 2017.Phrynosomatics. Newsletter for the Horned Lizard Conservation Society.
23(1): 1, 3-4.
17. Edholm, CJ, BO Emerenini, AL Murillo, O Saucedo, N Shakiba, X Wang, LJS Allen, and A Peace. 2018.
Chapter 1: Searching for superspreaders: Identifying epidemic patterns associated with superspreading
events in stochastic models. Refereed Springer Book Chapter. Understanding Complex Biological Systems
with Mathematics, pp. 1–29.
18. Towers, S, LJS Allen, F Brauer, and B Espinosa. 2018. Assessing the impact of non-vaccinators: quanti-
fying the average length of infection chains in outbreaks of vaccine-preventable disease. arXiv.org > q-bio
> arXiv:1812.06182v1
19. Nandi, A and LJS Allen. 2019. Stochastic multigroup epidemic models: duration and final size. IMA
Volume for Ecological and Biological Systems, Springer. pp. 483–507.
20. Nipa, KF and LJS Allen. 2021. Chapter 1: The effect of demographic variability and periodic fluctuations
on disease outbreaks in a vector-host epidemic model. In: Teboh-Ewungkem MI, Ngwa GA (eds), Infectious
Diseases and our Planet, The Mathematics of Planet Earth Vol. 7 , Springer Nature Switzerland, pp.15–35.
.
Refereed Articles
21. Hallam, TG, LJ Svoboda (Allen), and TC Gard. 1979. Persistence and extinction in three species Lotka-
Volterra competitive systems. Mathematical Biosciences, 46: 117–124.
22. DeAngelis, DL, LJ Svoboda (Allen), SW Christensen, and DS Vaughan. 1980. Stability and return times
of Leslie matrices with density-dependent survival: Applications to fish populations. Ecological Modelling,
8: 149–163.
23. Allen, LJS 1983. Persistence and extinction in Lotka-Volterra reaction-diffusion equations. Mathematical
Biosciences, 65: 1–12.
24. Allen, LJS 1983. Persistence and extinction in single-species reaction-diffusion models. Bulletin of Math-
ematical Biology, 45: 209–227.
25. Allen, LJS 1986. Fuzzy set theory. Mathematical Spectrum, 19: 40-45. Reprinted in A Mathematical
Spectrum Miscellany. 2000. Applied Probability Trust, pp. 122–127.
26. Allen, LJS 1987. Persistence, extinction, and critical patch number for island populations. Journal of
Mathematical Biology, 24: 617–625.
27. Allen, LJS 1989. A density-dependent Leslie matrix model. Mathematical Biosciences, 95: 179–187.
28. Allen, LJS, MP Moulton, and FL Rose. 1990. Persistence in an age-structured population for a patch-type
environment. Natural Resource Modeling, 4:197–214.
29. Allen, L, T Lewis, CF Martin, and M Stamp. 1990. A mathematical analysis and simulation of a localized
measles epidemic. Applied Mathematics and Computation , 39: 61–77.
30. Allen, LJS, MA Jones, and CF Martin. 1991. A discrete-time model with vaccination for a measles
epidemic. Mathematical Biosciences, 105: 111–131.
31. Allen, LJS 1991. Discrete and Continuous Mathematical Models of Populations and Epidemics. Journal
of Math. Systems, Estimation, and Control , 1: 335–369.
32. Allen, LJS, MJ Strauss, HG Thorvilson, and WN Lipe. 1991. A preliminary mathematical model for the
apple twig borer and grapes on the Texas High Plains. Ecological Modelling, 58: 369–383.
33. Allen, LJS, EJ Allen, CRG Kunst, and RE Sosebee. 1991. A diffusion model for dispersal of cholla on
rangeland. Journal of Ecology, 79: 1123–1135.
34. Moulton, MP , LJS Allen, and DK Ferris. 1992. Competition, coexistence and habitat selection in two
introduced Hawaiian Mannikins. Biotropica, 24: 77–85.
35. Allen, EJ, JM Harris, and LJS Allen. 1992. Persistence-time models for use in viability analyses of
vanishing species. Journal of Theoretical Biology, 155: 33–53.
36. Allen, LJS, MK Hannigan, and MJ Strauss. 1993. Mathematical analysis of a plant-herbivore system.
Bulletin of Mathematical Biology , 55: 847–864.
37. Lockwood, P and LJS Allen. 1993. Models for the spread of disease in predator-prey systems. Proceedings
of the Texas Academy of Sciences , 96th Annual Meeting, Univ. North Texas, Denton, pp. 276–281.
38. Allen, LJ, T Lewis, CF Martin, G Mundel, AB Way, CK Lo, MA Jones, and M Stamp. 1993. Analysis of
a measles epidemic. Statistics in Medicine , 12: 229–239.
39. Allen, LJS 1994. Some discrete-time SI, SIR, and SIS epidemic models. Mathematical Biosciences, 124:
83–105.
40. Martin, CF, LJS Allen, and M Stamp. 1995. Urn model simulations of a sexually transmitted disease
epidemic. Applied Mathematics and Computation . 71: 179–199.
41. Allen, LJS and PJ Cormier. 1996. Environmentally-driven epizootics. Mathematical Biosciences, 131:
51–80.
42. Martin, CF, LJS Allen, and M Stamp. 1996. An analysis of the transmission of chlamydia in a closed
population. Journal of Difference Equations and Applications , 2: 1–29.
43. Allen, EJ, LJS Allen, and X Gilliam. 1996. Dispersal and competition models for plants. Journal of
Mathematical Biology. 34: 455-481.
44. Allen, LJS, EJ Allen, and S Ponweera. 1996. A mathematical model for weed dispersal and control.
Bulletin of Mathematical Biology. 58: 815–834.
45. Allen, LJS and D Thrasher. 1998. The effects of vaccination in an age-dependent model for varicella and
herpes zoster. IEEE Transactions on Automatic Control . 43: 779–789.
46. Williams, MJ and LJS Allen. 1998. The RSA Algorithm: A Public-Key Cryptosystem. Mathematical
Spectrum, 31: 9–13. (Williams awarded Mathematical Spectrum Prize for his contribution to Volume 31.)
47. Jang SRJ and LJS Allen. 1999. A simple food chain with a growth inhibiting nutrient. Applied Mathe-
matics and Computation . 104: 277–298.
48. Allen, LJS and A Burgin. 2000. Comparison of deterministic and stochastic SIS and SIR models in
discrete time. Mathematical Biosciences, 163: 1–33.
49. Allen, LJS, EJ Allen, and D Atkinson. 1999. Integrodifference equations applied to plant dispersal,
competition, and control. Fields Institute Communications 21: 15–30.
50. Block, GL and LJS Allen. 2000. Population extinction and quasi-stationary behavior in stochastic density-
dependent structured models. Bulletin of Mathematical Biology . 62: 199–228.
51. Kesinger, JC, LJS Allen, RE Strauss. 2001. Discrete-time models for gene frequencies and population
densities in plant pathosystems. Nonlinear Analysis, 47: 1489–1500.
52. Allen, LJS 2001. SI and SIR Epidemic Models. Journal of Difference Equations and Applications , Open
Problems and Conjectures. 7: 759–761.
53. Kesinger, JC and LJS Allen. 2002. Genetic models for plant pathosystems. Mathematical Biosciences,
177&178: 247–269.
54. Allen, LJS, DA Flores, RK Ratnayake, and JR Herbold. 2002. Discrete-time deterministic and stochastic
models for the spread of rabies. Applied Mathematics and Computation , 132: 271–292.
55. Ackleh, AS and LJS Allen. 2003. Competitive exclusion and coexistence for pathogens in an epidemic
model with variable population size. Journal of Mathematical Biology , 47: 153–168.
56. Allen, LJS 2003. Risk of population extinction due to demographic stochasticity in population models.
Comments on Theoretical Biology, 8: 433–454.
57. Allen, LJS, M Langlais, and CJ Phillips. 2003. The dynamics of two viral infections in a single host
population with applications to hantavirus. Mathematical Biosciences, 186: 191–217.
58. Allen, LJS and EJ Allen. 2003. A comparison of three different stochastic population models with regard
to persistence time. Theoretical Population Biology, 64: 439–449.
59. Allen, LJS, N Kirupaharan, and SM Wilson. 2004. SIS epidemic models with multiple pathogen strains.
Journal of Difference Equations and Applications , 10: 53–75. [Named best paper in 2004.]
60. Roeger, LIW and LJS Allen. 2004. Discrete May-Leonard competition models, I. Journal of Difference
Equations and Applications , 10: 77–98.
61. Kirupaharan, N and LJS Allen. 2004. Coexistence of multiple pathogen strains in stochastic epidemic
models with density-dependent mortality. Bulletin of Mathematical Biology , 66: 841–864.
62. Emmert, KE and LJS Allen. 2004. Population persistence and extinction in a discrete-time, stage-
structured epidemic model. Journal of Difference Equations and Applications , 10: 1177–1199.
63. Allen, LJS and N Kirupaharan. 2005. Asymptotic dynamics of deterministic and stochastic epidemic
models with multiple pathogens. International Journal of Numerical Analysis and Modeling , 2(3): 329–
344.
64. Ackleh, AS and LJS Allen. 2005. Competitive exclusion in SIS and SIR epidemic models with total cross
immunity and density-dependent host mortality. Discrete and Continuous Dynamical Systems–Series B ,
5(2): 175–188.
65. Allen, LJS, JF Fagan, G Hognas, and H Fagerholm. 2005. Population extinction in discrete-time stochastic
population models with an Allee effect. Journal of Difference Equations and Applications , 11(4-5): 273–
293.
66. Allen, EJ, LJS Allen, and H Schurz. 2005. A comparison of persistence-time estimation for discrete
and continuous stochastic population models that include demographic and environmental variability.
Mathematical Biosciences, 196: 14–38.
67. McCormack, RK and LJS Allen. 2005. Disease emergence in deterministic and stochastic models for host
and pathogen. Applied Mathematics and Computation. 168(2): 1281–1305.
68. Emmert, KE and LJS Allen. 2006. Population extinction in deterministic and stochastic discrete-time
epidemic models with periodic coefficients with applications to amphibians. Natural Resource Modeling,
19(2): 117–164.
69. Xu, D, Z Feng, LJS Allen, and RK Swihart. 2006. A spatially structured metapopulation model with
patch dynamics. Journal of Theoretical Biology, 239(4): 469–481.
70. Drew, AJ, EJ Allen, and LJS Allen. 2006. An investigation of climatic and geographic factors on the
presence of chytrid fungus on amphibian populations in Australia. Diseases of Aquatic Organisms , 68:
245–250.
71. Allen, LJS, RK McCormack, and CB Jonsson. 2006. Mathematical models for hantavirus infection in
rodents. Bulletin of Mathematical Biology , 68(3): 511–524.
72. Allen, LJS and P van den Driessche. 2006. Stochastic epidemic models with a backward bifurcation.
Mathematical Biosciences and Engineering , 3(3): 445–458.
73. McCormack, RK and LJS Allen. 2007. Disease emergence in multi-host epidemic models. Mathematical
Medicine and Biology, 24: 17–34.
74. Ackleh, A. S., LJS Allen, and J Carter. 2007. Establishing a beachhead: A stochastic population model
with an Allee effect applied to species invasion. Theoretical Population Biology, 71: 290–300.
75. McCormack RK and LJS Allen. 2007. Multi-patch deterministic and stochastic models for wildlife diseases.
Journal of Biological Dynamics , 1(1): 63–85.
76. Allen, LJS, BM Bolker, Y Lou, and AL Nevai. 2007. Asymptotic profiles of the steady states for an SIS
epidemic patch model. SIAM Journal of Applied Mathematics , 67(5): 1283–1309.
77. Xu, Y, LJS Allen, and AS Perelson. 2007. Stochastic model of an influenza epidemic with drug resistance.
Journal of Theoretical Biology, 248: 179–193.
78. Allen, LJS, BM Bolker, Y Lou, and AL Nevai. 2008. Asymptotic profiles of the steady states for an SIS
epidemic reaction-diffusion model. Discrete and Continuous Dynamical Systems-Series A , 21(1): 1–20.
79. Allen, EJ, LJS Allen, A Arciniega, and P. Greenwood. 2008. Construction of equivalent stochastic
differential equation models. Stochastic Analysis and Applications , 26: 274–297.
80. Allen, LJS and P van den Driessche. 2008. The basic reproduction number in some discrete-time epidemic
models. Journal of Difference Equations and Applications , 14: 1127–1147.
81. Banerjee, C, LJS Allen, and J Salazar-Bravo. 2008. Models for an arenavirus infection in a rodent
population: consequences of horizontal, vertical and sexual transmission. Mathematical Biosciences and
Engineering, 5: 617–645.
82. Wesley, CL, LJS Allen, CB Jonsson, YK Chu, and RD Owen. 2009. A discrete-time rodent-hantavirus
model structured by infection and developmental stages. Advanced Studies in Pure Mathematics, 53: 1–12.
83. Allen, LJS, Y Lou, and AL Nevai. 2009. Spatial patterns in a discrete-time SIS patch model. Journal of
Mathematical Biology, 58: 339–375.
84. Ekanayake, AJ, JS Tsai, LJS Allen, LM Smith, J Surles, and EJ Allen. 2009. Estimating watershed area
for playas in the Southern High Plains, USA. Wetlands, 29: 387–395.
85. Wesley, CL and LJS Allen. 2009. The basic reproduction number in epidemic models with periodic
demographics. Journal of Biological Dynamics , 3: 116-129.
86. Allen, LJS , CL Wesley, RD Owen, DG Goodin, D Koch, CB Jonsson, YK Chu, S Hutchinson, and R
Paige. 2009. A habitat-based model for the spread of hantavirus between reservoir and spillover species.
Journal of Theoretical Biology, 260: 510-522.
87. Wesley, CL, LJS Allen and M Langlais. 2010. Models for the spread and persistence of hantavirus infection
in rodents with direct and indirect transmission. Mathematical Biosciences and Engineering , 7: 195-211.
88. Erickson, RA, SM Presley, LJS Allen, KR Long, and SB Cox. 2010. A stage-structured, Aedes albopictus
population model. Ecological Modelling, 221: 1273-1282.
89. Ekanayake, AJ and LJS Allen. 2010. Comparison of Markov chain and stochastic differential equation pop-
ulation models under higher-order moment closure approximations. Stochastic Analysis and Applications,
28: 907–927.
90. Erickson, RA, SM Presley, LJS Allen, KR Long, and SB Cox. 2010. A dengue model with a dynamic
Aedes albopictus vector population. Ecological Modelling, 221: 2899–2908.
91. Mallawa Arachchi, DK, LJS Allen, and C Carey. 2011. Stability and permanence in gender- and stage-
structured population models for the boreal toad. Journal of Biological Dynamics , 5: 1–26.
92. Yuan, Y and LJS Allen. 2011. Stochastic models for virus and immune system dynamics. Mathematical
Biosciences, 234: 84-94.
93. Allen, LJS, VL Brown, CB Jonsson, SL Klein, SM Laverty, K Magwedere, JC Owen and P van den
Driessche. 2012. Mathematical modeling of viral zoonoses in wildlife. Natural Resource Modelling , 25
(102): 5–51.
94. Allen, LJS and GE Lahodny Jr. 2012. Extinction thresholds in deterministic and stochastic epidemic
models. Journal of Biological Dynamics , 6(2): 590–611.
95. Erickson, RA, K Hayhoe, SM Presley, LJS Allen, KR Long, and SB Cox. 2012. Potential impacts
of climate change on the ecology of dengue and its mosquito vector the Asian tiger mosquito ( Aedes
albopictus). Environ. Res. Lett. 7, 034003 (6pp).
96. Allen, LJS and VA Bokil. 2012. Stochastic models for competing species with a shared pathogen. Math-
ematical Biosciences and Engineering , 9: 461–485.
97. Vidurupola, S and LJS Allen. 2012. Basic stochastic models for viral infection within a host. Mathematical
Biosciences and Engineering. 9: 915-935.
98. Allen, LJS and P van den Driessche. 2013. Relations between deterministic and stochastic thresholds for
disease extinction in continuous- and discrete-time infectious disease models. Mathematical Biosciences,
243: 99–108.
99. Lahodny, Jr., GE and LJS Allen. 2013. Probability of a disease outbreak in stochastic multi-patch
epidemic models. Bulletin of Mathematical Biology , 75:1157–1180.
100. X Wang, R Gautam, PJ Pinedo, LJS Allen, and R Ivanek. 2014. A stochastic model for transmission,
extinction and outbreak of Escherichia coli O157:H7 in cattle as affected by ambient temperature and
pathogen cleaning practices. Journal of Mathematical Biology , 69(2): 501–532.
101. Mandal, PS , LJS Allen and M Banerjee. 2014. Stochastic modeling of phytoplankton allelopathy. Applied
Mathematical Modelling, 38: 1583–1596.
102. Allen, LJS and VL Kocic. 2014. Resonance in Beverton-Holt population models with periodic and random
coefficients. Journal of Difference Equations and Applications , 20: 925–946.
103. Vidurupola, S and LJS Allen. 2014. The impact of variability in stochastic models of bacteria-phage
dynamics applicable to phage therapy. Stochastic Analysis and Applications , 32(3): 427–449.
104. Allen, LJS and EJ Schwartz. 2015. Free-virus and cell-to-cell transmission in models of equine infectious
anemia virus infection. Mathematical Biosciences, 270: 237–248.
105. Hamelin, FM, LJS Allen, HR Prendeville, MR Hajimorad, and MJ Jeger. 2016. The evolution of plant
virus transmission pathways. Journal of Theoretical Biology, 396: 75–89.
106. Hebert, MP and LJS Allen. 2016. Disease outbreaks in plant-vector-virus models with vector aggregation
and dispersal. Discrete and Continuous Dynamical Systems-B 21(7): 2169–2191.
107. Allen, LJS, SR Jang and LIW Roeger. 2017. Predicting population extinction or disease outbreaks with
stochastic models. Letters in Biomathematics , 4:1–22.
108. Allen, LJS. 2017. A primer on stochastic epidemic models: formulation, numerical simulation, and analysis.
Infectious Disease Modelling. 2: 128–142.
109. Hamelin, FM, FM Hilker, TA Sun, MJ Jeger, MJ Hajimorad, LJS Allen, and HR Prendeville. 2017. The
evolution of parasitic and mutualistic plant-virus symbioses through transmission-virulence trade-offs.
Virus Research, 241: 77–87. https://doi: 10.1016/j.virusres.2017.04.011.
110. Hilker, FM, LJS Allen, VA. Bokil , CJ Briggs, Z Feng, KA Garrett, LJ Gross, FM Hamelin, MJ Jeger,
CA Manore, AG Power, MG Redinbaugh, MA R´ ua and NJ Cunniffe. 2017. Modelling virus coinfection
to inform management of maize lethal necrosis in Kenya. Phytopathology, 107(10):1095–1108. https://doi:
10.1094/PHYTO-03-17-0080-FI.
111. Tritch, W and LJS Allen. 2018. Duration of a minor epidemic. Infectious Disease Modelling. 3: 60–73.
112. Zhang, W, S Jang, C Jonsson, and LJS Allen. 2019. Models of cytokine dynamics in the inflammatory
response in viral zoonotic infectious diseases. Mathematical Medicine and Biology . 36(3): 269–295.
113. Bai, F, KES Huff, and LJS Allen. 2019. The effect of delay in viral production in within-host models
during early infection. Journal of Biological Dynamics . 13: sup1, 47–73.
114. Bai, F and LJS Allen. 2019. Probability of a major infection in a stochastic within-host model with
multiple stages. Applied Mathematics Letters. 87:1–6.
115. Nandi, A and LJS Allen. 2019. Stochastic two-group models with transmission dependent on host infec-
tivity or susceptibility. Journal of Biological Dynamics . 13: sup1, 201–224.
116. Aavani, P and LJS Allen. 2019. The role of CD4 T cells in immune system activation and viral reproduction
in a simple model for HIV infection. Applied Mathematical Modelling. 75: 210–222.
117. Bokil, VA, LJS Allen, MJ Jeger, and S Lenhart. 2019. Optimal control of a vectored plant disease model
for a crop with continuous replanting. Journal of Biological Dynamics . 13: sup1, 325–353.
118. Hamelin, FM, LJS Allen, V Bokil, LJ Gross, FM Hilker, MJ Jeger, C Manore, A Power, MA R´ ua, and
NJ Cunniffe. 2019. Co-infections by non-interacting pathogens are not independent & require new tests
of interaction. PLOS Biology. 17(12): e3000551. https://doi.org/10.1371/journal.pbio.3000551
119. Allen, LJS, VA Bokil, NJ Cunniffe, FM Hamelin, FM Hilker, and MJ Jeger. 2019. Modelling Vector
Transmission and Epidemiology of Co-infecting Plant Viruses. Viruses. 11(12): 1153.
https://doi.org/10.3390/v11121153
120. Hilker, FM, TA Sun, LJS Allen, and FM Hamelin. 2020. Separate seasons of infection and reproduction
can lead to multi-year population cycles. Journal of Theoretical Biology. 489: 110158
https://doi.org/10.1016/j.jtbi.2020.110158 (10 pages).
121. Allen, EJ, LJS Allen, and HL Smith. 2020. On real-valued SDE and nonnegative-valued SDE population
models with demographic variability. Journal of Mathematical Biology . 81: 487–515.
122. Nipa, KF and LJS Allen. 2020. Disease emergence in multi-patch stochastic epidemic models with demo-
graphic and seasonal variability.Bulletin of Mathematical Biology. 82:152 https://doi.org/10.1007/s11538-
020-00831-x (30 pages).
123. Nipa, KF, SRJ Jang and LJS Allen. 2021. The effect of demographic and environmental variability on dis-
ease outbreak for a dengue model with a seasonally varying vector population. Mathematical Biosciences.
331:108516 https://doi.org/10.1016/j.mbs.2020.108516 (18 pages).
124. Nandi, A and LJS Allen. 2021. Probability of a zoonotic spillover with seasonal variation. Infectious
Disease Modelling. 6:514–531.
125. Shakiba, N, CJ Edholm, BO Emerenini, AL Murillo, A Peace, O Saucedo, X Wang, and LJS Allen. 2021.
Effects of environmental variability on superspreading transmission events in stochastic epidemic models.
Infectious Disease Modelling. 6:560–583.
126. Allen, LJS and X Wang. 2021. Stochastic models of infectious diseases in a periodic environment with
application to cholera epidemics. Journal of Mathematical Biology, 82:48 https://doi.org/10.1007/s00285-
021-01603-4 (26 pages).
Book Reviews
1. Modelling Biological Populations in Space and Time by Eric Renshaw, Cambridge Studies in Mathematical
Biology, Cambridge University Press, 1991. Mathematical Biosciences. (1995) 127: 123-126.
2. Mathematics in Population Biology by Horst Thieme, Princeton Univ. Press, 2003, SIAM Review. (2004)
46 (2): 356-358.
3. Chaos in Ecology Experimental Nonlinear Dynamics by Jim Cushing, Robert Constantino, Brian Dennis,
Robert Desharnais, and Shandelle Henson, Academic Press Theoretical Ecology Series, 2003. Journal of
Difference Equations and Applications . (2007) 13 (1): 93-94.
4. A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods
by Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes M¨ uller, Birgitt Sch¨ onfisch. SIAM, Philadelphia,
2006. SIAM Review. (2007) 49 (2): 329-331.
5. Workshop on Branching Processes and Their Applications edited by Gonzalez Vel´ aasco, Puerto, Mart´ ınez,
Molina, Mota, and Ramos. Lecture Notes in Statistics, Springer, Vol. 197, 2010. Journal of the American
Statistical Association Reviews. (2012) 107(497): 438–439.
Invited Seminars, Colloquia, and Lecture Series
1. “Mathematical models applied to plant and insect pests,” North Carolina State University, April 1994.
2. “Discrete-time and age-structured epidemic models with an application to chickenpox.” Mathematics
Colloquium. Trinity University, March 1996.
3. “Difference and integrodifference equations: models for infectious diseases and range weeds.” New Mexico
State University. November 1997.
4. “Deterministic and stochastic discrete-time epidemic models.” Arizona State University. February 1998.
5. “Deterministic and stochastic discrete-time epidemic models.” Baylor University. March 1998.
6. “A competitive exclusion principle for pathogens.” Math Ecology Seminar. University of Tennessee.
October 2001.
7. “Mathematical models of epidemics.” Mathematics Colloquium. Texas Christian University. February
2002.
8. “The risk of population extinction in models with demographic stochasticity.” Mathematics Colloquium.
University of Louisiana at Lafayette. October 2003.
9. “Models for two emerging wildlife diseases: Hantavirus in Rodents and Chytridiomycosis in Amphibians”.
Mathematics Seminar, Purdue University. November 2004.
10. “Multi-host and multi-patch models for an emerging disease of wildlife: hantavirus”. Mathematical Bio-
sciences Institute Seminar, Ohio State University. March 2006.
11. “Mathematical models for two emerging diseases of wildlife: Hantavirus and Chytridiomycosis.” Mathe-
matics Colloquium. Florida Gulf Coast University. March 2007.
12. “Emerging zoonotic diseases in wildlife: metapopulation models with multiple pathogens and multiple
hosts.” Mathematics Colloquium. University of Nevada, Las Vegas. November 2007.
13. “Models for the spread of an infectious disease in a population: influenza, hantavirus, and chytridiomyco-
sis”, UGROW Presentation at Midwestern State University, Wichita Falls, May 29, 2008
14. “An Intensive Course in Stochastic Processes and Stochastic Differential Equations in Mathematical Biol-
ogy”, Invited series of lectures at the National Center for Theoretical Sciences of the National Tsing Hua
University in Taiwan, August 2008.
15. “Modeling a Zoonotic Disease: Multiple Hosts, Spatial Heterogeneity and Seasonal Variations”, Mathe-
matics Colloquium. University of Texas at Arlington, November 2009.
16. “Stochastic Models in Epidemiology and Immunology”, Mathematics Colloquium. Oakland University,
March 25, 2010.
17. “Modeling a Zoonotic Disease: Hantavirus”, Math/Biology Colloquium.Trinity University, April 26, 2010.
18. “Pathogen Extinction in Stochastic Models of Epidemics and Viral Dynamics”, Biomathematics Seminar,
University of Florida, February 11, 2011.
19. “Mathematical Modeling of Infectious Diseases I. Introduction to Deterministic Epidemic Models, II.
Introduction to Stochastic Epidemic Models, III. Applications of Deterministic and Stochastic Epidemic
Models”, Third Porto Meeting on Mathematics for Industry. Main Speaker. Centro de Matematica da
Universidade do Porto, Porto, Portugal. April 28-30, 2011.
20. “Mathematical Models of Infectious Diseases: the Importance of Heterogeneity”, University of Nevada,
Las Vegas, School of Life Sciences Seminar, November 18, 2011.
21. “Extinction Thresholds in Deterministic and Stochastic Models for Epidemics and Viral Dynamics”, Math-
ematical Biosciences Institute Colloquium, Ohio State University, February 13, 2012.
22. “Thresholds in Deterministic and Stochastic Infectious Disease Models”, Southern Illinois University,
Mathematics Colloquium. September 20, 2012.
23. “Mathematical Models of a Zoonotic Infectious Disease: Hantavirus”, Middle Tennessee State University
Colloquium, Murfreesboro, TN. March 27, 2013.
24. Invited Series of Lectures for the 2013 Atlantic Association of Research in the Mathematical Sciences
(AARMS) Summer School, Stochastic Modeling with Applications in Biology, St. John’s Memorial Uni-
versity of Newfoundland, CA.Two Week/Daily Lectures during July 15-August 9, 2013.
25. “Predicting Population Extinction and Disease Outbreaks with Branching Processes”, Florida State Uni-
versity Colloquium, Tallahassee, Florida, April 3, 2015.
26. Workshop on Stochastic Epidemic Modelling. University of KwaZulu-Natal, Pietermaritzburg, South
Africa. Lecturer and Facilitator. July 6-10, 2015.
27. Two-Day Workshop on “Modeling and Simulation in Mathematical Biology”, University of Kelaniya, Sri
Lanka, July 8-9, 2017.
28. “Modeling of Infectious Diseases in Plants and Animals”, University of Peradeniya, Sri Lanka, Mathe-
matics Colloquium, July 10, 2017.
29. Honors Course for Undergraduate Students: An Introduction to Mathematical Modeling: “Introduction to
Discrete-Time Deterministic Models in Ecology and Epidemiology”, “Introduction to Ordinary Differential
Equations in Ecology and Epidemiology”, “Biological Problems where Mathematical Modeling Plays an
Important Role”, “Stochastic Formulations: Exponential Growth and Cancer Treatment”, University of
Kelaniya, Sri Lanka, June-July, 2017.
30. “Mathematical Modeling of Viral Zoonotic Infectious Diseases”, University of Kelaniya, Sri Lanka, Math-
ematics Colloquium, July 14, 2017.
31. “Stochastic Models on the Emergence of Disease in Viral Zoonoses”, Invited to School of Mathematical
and Statistical Sciences Colloquium and Biomathematics Seminar, Arizona State University, October 19,
2017.
32. “Probability, Duration and Final Size of an Epidemic in Stochastic Multistage or Multigroup Models”,
Invited Colloquium at Center for Modeling Complex Interactions, University of Idaho, August 30, 2018.
33. “How do Seasonal Variations Affect Disease Emergence in Vector Transmitted Diseases?” University of
Louisiana at Lafayette, Invited Colloquium. March 29, 2019.
34. “Probability of a Zoonotic Spillover in a Fluctuating Environment”, New Mexico State University, Invited
Colloquium, September 27, 2019.
35. “Zoonotic Spillover of Infectious Diseases in a Fluctuating Environment”, Virginia Tech, Invited Collo-
quium, January 24, 2020.
36. “Seasonal Variability on Disease Outbreaks in Stochastic Multi-Patch Epidemic Models”. University of
Central Florida, Invited Virtual Colloquium, October 30, 2020.
37. “Disease Emergence in Multi-Patch Stochastic Epidemic Models with Demographic and Seasonal Vari-
ability”, Midwest Mathematical Biology Seminar, University of Minnesota, February 15, 2021.
38. “Disease Emergence in Multi-Patch Stochastic Epidemic Models with Demographic and Seasonal Vari-
ability”, Online Math/Bio Seminar, Washington State University, February 16, 2021.
39. “Zoonotic Spillover in Stochastic Epidemic Models with Demographic and Seasonal Variability”, Mathe-
matics Colloquium, University of Pittsburgh, April 2, 2021.
Professional, Keynote, and Plenary Presentations
1. “Analysis of nonlinear matrix equations for fish population dynamics,” SEAS-SIAM Meeting, Columbia,
South Carolina, April 1978.
2. “Persistence and extinction problems for reaction-diffusion systems,” SEAS-SIAM Meeting, Atlanta, Geor-
gia, April 1981.
3. “Models with crowding-induced diffusion,” Southeast Mathematical Ecology Conference, Knoxville, Ten-
nessee, April 1984.
4. “Critical patch number for island populations,” National SIAM Meeting, Tempe, Arizona, October 1985.
5. “Population Models,” Symposium on Population Modeling and Ecology of Playa Lakes, Texas Tech Uni-
versity, May 1986.
6. “A mathematical model for an endangered watersnake,” Southeast Mathematical Ecology Conference,
Charleston, South Carolina, April 1987.
7. “Critical patch size for discrete reaction-diffusion models,” National SIAM Meeting, Minneapolis, Min-
nesota, July 1988.
8. “Persistence in an age-structured population for a patch-type environment,” Southeast Mathematical
Ecology Conference, Wakulla Springs, Florida, March 1989.
9. “Some relationships between continuous and discrete logistic population models,” Texas Section Meeting
of the MAA, Denton, Texas, March 1990.
10. “Mathematical analyses and simulations of a measles epidemic,” Symposium on Statistical Methods for
Evaluation of Intervention and Prevention Strategies, CDC, Atlanta, Georgia, December 1990.
11. “Mathematical analyses and simulations of a measles epidemic,” Biometric Society ENAR Spring Meeting,
Houston, Texas, March 1991. Invited Lecture.
12. “A diffusion model for dispersal of cholla on rangeland,” Texas Section Meeting of the MAA, Houston,
Texas, April 1992.
13. “Mathematical analysis of a plant-herbivore system,” World Congress of Nonlinear Analysts. Tampa,
Florida, August 1992. Invited Presentation.
14. “Models of epidemics,” Texas Section Meeting of the MAA, Abilene, Texas, April 1993. PLENARY
Address.
15. “Environmentally-driven epizootics,” Annual Southeastern Mathematical and Statistical Ecology Confer-
ence. Raleigh, North Carolina, April 1994.
16. “Deterministic models of infectious diseases.” Symposium on Mathematics and Medicine. Texas Tech
University and Health Science Center. Lubbock, Texas. April 1994.
17. “Some Discrete-Time SI, SIR, and SIS Epidemic Models.” The First International Conference on Difference
Equations. San Antonio, Texas, May 1994.
18. “Discrete-Time Population Models with Age and Stage Structure I, II”, “Discrete-Time Epidemic Models.”
Fourth Autumn Course on Mathematical Ecology. International Center for Theoretical Physics, Trieste,
Italy. October-November 1994. Invited Lecture.
19. “Discrete-time and age-structured epidemic models.” Southwest Regional Institute on Mathematical Sci-
ences (SWRIMS) Conference on Modeling in Population Dynamics. Utah State University, August 1995.
Invited Lecture.
20. “Dynamics and control of infectious diseases.” Mathematics for Undergraduate Life Sciences Students.
Iowa State University, Ames, Iowa. May 1996.
21. “Models for weed dispersal, competition, and control.” Mathematical Theory of Networks and Systems-96.
Washington University, St. Louis, Missouri. June 1996.
22. “Environmentally-driven epizootics.” 47th Annual Conference on Diseases in Nature Transmissible to
Man. Texas Tech University Health Sciences Center, Lubbock, Texas. June 1997.
23. “Some discrete-time epidemic models with applications to chlamydia and chickenpox.” MAA Short Course
on Epidemiology Modeling, cosponsored by CDC, Atlanta, Georgia. July 31-August 1, 1997. Invited
Lecture.
24. “Integrodifference equation models for plant competition and dispersal.” International Conference on
Differential Equations with Applications to Biology. Halifax, Nova Scotia.July 1997.
25. “Deterministic and stochastic SIS and SIR models in discrete time.” AMS, Fall Western Sectional Meeting,
Albuquerque, New Mexico. November 1997.
26. “Mathematical models for infectious diseases in humans and animals.” Mathematics of the Life Sciences.
Texas Tech University. January 1998.
27. “Geographic dispersal and control of weeds.” Workshop on Heterogeneous Problems in Ecology and Epi-
demiology. Fifth International Conference on Mathematical Population Dynamics. Zakopane, Poland.
June 1998. Invited Lecture.
28. “Stochastic and deterministic discrete age-structured models.” Joint Mathematics Meetings. AMS Special
Section. San Antonio, Texas. January 1999.
29. “An age-structured model for canine rabies,” “Occurrence, duration, and size of an epidemic in deter-
ministic and stochastic SI and SIS models, ”Some Stochastic SIS Models.” Workshop on Mathematical
Epidemiology. Pacific Institute for the Mathematical Sciences. University of British Columbia, Vancouver,
Canada. July 1999. Invited Principal Speaker. Stability and permanence in gender- and stage-structured
population models for the boreal toad.
30. “The Impact of Long-Range Dispersal in Population and Epidemic Models,” Fifth International Conference
on Difference Equations, Univ. de la Frontera, Temuco, Chile.January 2000. Invited Presentation.
31. “The dynamics of two viral infections within a single host population” Southeastern Sectional Meeting of
the AMS. AMS Special Section. Layfayette, Louisiana. April 2000. Invited Presentation.
32. “Deterministic and stochastic discrete-time epidemic models for gene frequencies and population densities
with applications to plant pathosystems,” Third World Congress of Nonlinear Analysts 2000. Catania,
Italy. July 2000. Invited Presentation.
33. “Deterministic and stochastic discrete-time epidemic models.” Sixth SIAM Conference on Application of
Dynamical Systems. Snowbird, Utah. May 2001. Invited Presentation.
34. “Deterministic and Stochastic Epidemic Models.” DIMACS Tutorial on Dynamic Models of Epidemiolog-
ical Problems. Rutgers University, Piscataway, New Jersey, June 2002. Invited presentation.
35. “Competitive Exclusion in Discrete-Time Epidemic Models,” Annual Meeting of the Society for Mathe-
matical Biology, University of Tennessee, July, 2002.
36. “Competitive Exclusion in Discrete-Time Deterministic and Stochastic Spatial Epidemic Models with
Multiple Pathogens.” Minisymposium at the SIAM Conference on the Applications of Dynamical Systems,
May 27-30, 2003. Invited presentation.
37. “Stochastic Differential Equation Models for Epidemics with Multiple Pathogens,” Joint AMS Central and
Western Section Meeting, Boulder, CO, October 2-4, 2003.
38. “A Comparison of Three Different Stochastic Population Models with Regard to Persistence Time”, Thirty-
third Annual Lloyd Roeling/University of Louisiana at Lafayette Mathematics Conference, October 24-26,
2003.
39. “The dynamics of two viral infections in a single host population with applications to hantavirus”, National
MAA/AMS Meeting, Pheonix, Arizona, January 2004, Invited presentation.
40. “An Introduction to Epidemic Modeling”, MAA PREP Workshop: Mathematics Meets Biology: Epi-
demics, Data Fitting, and Chaos, University of Louisiana, Lafayette, May 26-29, 2004, Invited Lecturer.
41. “An Introduction to Stochastic Epidemic Models-Parts I, II, III”, PIMS-MITACS-MSRI Special Program
on Infectious Diseases Summer School, Banff International Research Station, Alberta, Canada. June 19-27,
2004. Invited Lecturer.
42. “Extinction in Discrete-Time Stochastic Population and Epidemic Models. Effect of Dispersal, Structure,
and Allee Threshold”. Ninth International Conference on Difference Equations and Applications, Los
Angeles, CA. August 2-6, 2004. PLENARY Speaker.
43. “Stochastic Epidemic Models for the Spread of Hantavirus in Rodents”, SIAM Conference on Applications
of Dynamical Systems. Snowbird, Utah. May 22-26, 2005, Invited presentation.
44. “Deterministic and Stochastic Models for an Emerging Wildlife Disease: Hantavirus” AMS-IMS-SIAM
Summer Research Conference, Modeling the Dynamics of Human Diseases: Emerging Paradigms and
Challenges. Snowbird, Utah. July 17-July 21, 2005, Invited presentation.
45. “Emerging Wildlife Disease Modeling”. Workshop on Mathematical Epidemiology. Banff International
Research Station, Alberta, Canada. August 20-25, 2005. Invited Lecturer.
46. “Stochastic epidemic models with a backward bifurcation”. AMS-MAA National Meeting, San Anto-
nio, Texas. AMS-SIAM Special Session on Theory and Application of Stochastic Differential Equations,
January 12-15, 2006.
47. “Deterministic and stochastic models of an emerging wildlife disease: hantavirus”. Workshop on Mathe-
matics in Biology and Medicine. Arizona State University. February 3, 2006.
48. “An Introduction to Stochastic Epidemic Models, I, II”. 2006 Summer School on Mathematical Modeling
of Infectious Diseases. York University, Toronto, Canada. June 10-20, 2006.
49. “Emerging Diseases of Wildlife.” Public Lecture. Fields Institute. Toronto, Canada. June 14, 2006.
50. “Epidemic Models with Multiple Pathogen Strains.” SIAM Annual Meeting, Boston, MA. June 10-14,
2006.
51. “The Basic Reproduction Number in Discrete-Time Epidemic Models for Wildlife Diseases”. International
Conference on Difference Equations and Applications. Kyoto University, Kyoto, Japan. July 24-28,
2006. Invited presentation.
52. “Existence of a disease-free equilibrium in an SIS epidemic patch model when the rate of susceptible
dispersal approaches zero.” April 21-22, 2007. AMS Sectional Meeting. Tucson, Arizona.
53. “Gender and age structured models for amphibian populations”. Conference on Mathematical Modeling
and Analysis of Populations in Biological Systems- In Honor of Jim Cushing. University of Arizona,
October 5-7, 2007.
54. Workshop: “Integrating Biological Applications in the Mathematics Curriculum”, Texas Section Meeting
of the MAA, Tarleton State University, April 3, 2008, Invited Lecturer.
55. “Introduction to Stochastic Epidemic Models, Parts I and II”, 2008 Summer School on Mathematical
Modeling of Infectious Diseases, University of Alberta, Edmonton, Canada, May 1-11, 2008. Invited
Lecturer.
56. “Stochastic Metapopulation Models of Patch Occupancy and Stochastic Metapopulation Models for the
Spread of Hantavirus In Wild Rodents”, WCNA-2008, Orlando, Florida, July 2-9, 2008.
57. “Comparing the dynamics of stochastic population models”. 2008 AMS Fall Southeastern Meeting,
Huntsville, Alabama, October 24-26, 2008.
58. “Models for hantavirus infection in rodents with indirect transmission to humans and with spillover infec-
tion”. Differential Equations and Applications in Ecology and Epidemiology - in Honor of 60th Birthday
of Horst R. Thieme. Purdue University, December 8-10, 2008.
59. “Stochastic Metapopulation Models”, Workshop: Stochastic and deterministic spatial modeling in pop-
ulation dynamics. American Institute of Mathematics, Palo Alto, California, May 4-8, 2009. Invited
participant.
60. “Stochastic models of invasions and epidemics”, 2009 Summer School on The Mathematics of Invasions in
Ecology and Epidemiology, Banff Centre, Alberta, Canada, May 10-17, 2009. Invited Lecturer.
61. “Zoonotic Diseases Carried by Rodents: Seasonal Fluctuations”, 24th Annual Shanks Lecture and Con-
ference Vanderbilt University, May 18-21, 2009. PLENARY Speaker.
62. “Stochastic Processes with Applications to Epidemiology”, 2009 China-Canada Colloquium on Modeling
Infectious Diseases, Xi’an Jiaotong University, Shaanxi, People’s Republic of China. September 20-25,
2009. PLENARY Speaker.
63. “Stochastic Models for Spread of Viral Infection Within and Between Hosts”, SIAM Conference on Life
Sciences, Pittsburgh, Pennsylvania, July 12-15, 2010.
64. “Stochastic Models for Viral Reproduction”, Symposium on Biomathematics and Ecology: Education and
Research, September 4-5, 2010, Illinois State University. KEYNOTE Presentation.
65. “Stochastic Viral Kinetics”, AMS special session at the Joint Mathematics Meetings in New Orleans,
January 6, 2011.
66. “Applications of discrete-time Markov chains and branching processes” and “Applications of continuous-
time Markov chains and branching processes”, NIMBioS Tutorial Stochastic Models with Biological Ap-
plications University of Tennessee, Knoxville, Tennessee, March 16-18, 2011.
67. “Spread of Disease From Reservoir to Spillover Populations”, Emerging Challenges at the Interface of
Mathematics, Environmental Science and Spatial Ecology, Banff International Research Station, Banff,
Canada, July 4-8, 2011, Invited Speaker.
68. “An Introduction to Stochastic Epidemic Models”, 2011 MBI-NIMBioS-CAMBAM Summer Graduate
Program, Mathematical Biosciences Institute. Ohio State University, August 1, 2011.
69. “Persistence and Spread of Zoonotic Disease in Stochastic Models with Gender and Spatial Structure”,
Mathematical Biology Workshop and IGTC Summit, University of Victoria, Canada, July 14-16, 2011.
70. “Thresholds for Population or Pathogen Survival in Stochastic Models”, ICMA III, Trinity University,
October 7-9, 2011. PLENARY Speaker.
71. “Pathogen Extinction in Stochastic Models of Epidemics and Viral Dynamics”, Workshop 2: Stochastic
Processes in Cell and Population Biology, Mathematical Biosciences Institute, Ohio State University,
October 24-28, 2011.
72. “Mathematical modeling of viral zoonoses in wildlife”, Joint Mathematics Meetings, Boston, MA, January
4, 2012.
73. “Stochastic thresholds for discrete-time epidemic models”, Progress on Difference Equations 2012, Virginia
Commonwealth University, Richmond, VA, May 13-18, 2012. PLENARY Speaker.
74. “An Introduction to Stochastic Epidemic Models”, 2012 MBI-NIMBioS-CAMBAM Summer Graduate
Program, Mathematical Biosciences Institute. Ohio State University, June 19-20, 2012.
75. “Workshop: An Introduction to Stochastic Models in Mathematical Biology”, with S. Jang and L. Roeger.
TX Section Meeting of MAA, Texas Tech U, April 11, 2013.
76. “Stochastic Epidemic and Endemic Models of Infectious Diseases”, Summer School Course Instructor on
Mathematics of Infectious Diseases, Mprime Centre for Disease Modelling at York University, May 19-27,
2013.
77. “Probability of a disease outbreak in stochastic multi-patch models with applications to zoonotic infectious
diseases”, Society of Mathematical Biology Minisymposium, Disease Dynamics in Animal Populations,
Arizona State University, June 10-13, 2013.
78. “Relations Between Deterministic and Stochastic Thresholds for Disease Extinction”, 2013 AARMS Math-
ematical Biology Workshop, Memorial University, St. John’s, Newfoundland, CA.July 27-29, 2013.
PLENARY Speaker.
79. “Thresholds for extinction in stochastic models of infectious diseases: importance of time and location”
Workshop: From Within Host Dynamics to the Epidemiology of Infectious Disease, MBI, Ohio State
University, April 7-11, 2014.
80. “Probability of disease outbreaks in multi-species, multi-patch models with applications to zoonotic dis-
eases”, AMS TX Section Meeting, Texas Tech University, April 11-13, 2014.
81. “Mathematical Modeling of Viral Zoonotic Infectious Diseases”, Hudson River Undergraduate Mathemat-
ics Conference and Spuyten Duyvil Undergraduate Mathematics Conference, HRUJMC XXI and SDUMC
IX, April 26, 2014, Marist College, Poughkeepsie, NY, KEYNOTE Speaker.
82. “Stochastic thresholds for disease extinction in models for disease spread within and between hosts: the
importance of targeted strategies”, Midwest Mathematical Biology Conference, University of Wisconsin,
La Crosse, May 17-18, 2014, PLENARY Speaker.
83. “Deterministic and stochastic thresholds for disease extinction in infectious disease models,” 2014 SIAM
Life Sciences Conference, Charlotte, NC, August 4-7, 2014. PLENARY Speaker.
84. “Probability of extinction in stochastic models of populations and infectious diseases: importance of time
and location”, 2014 SIAM Life Sciences Conference, Charlotte, NC, August 4-7, 2014. Special Session.
85. “Disease outbreaks in plant-vector-virus models with vector aggregation and dispersal”. Society of Math-
ematical Biology Annual Meeting. Atlanta Georgia, June 30 - July 3, 2015. Invited special session.
86. “Predicting Population Extinction, Disease Outbreaks, and Species Invasions Using Branching Processes”,
AWM-SIAM Sonia Kovalevsky Lecture, ICIAM 2015, Beijing, China. August 13, 2015.
87. “Estimation of the Probability of Invasion and the Time to Invasion Failure in Markov Chain Models of
Populations and Epidemics”, University of Western Ontario, ICMA V, October 2-4, 2015.
88. “Stochastic Epidemic Models: Model Formulation and Numerical Simulation”, ”Application of Stochastic
Epidemic Models: Disease Outbreaks in Multi-Host Models”, US-Canada Institutes Summer School on
Infectious Disease Spread, Invited Lectures, MBI, Ohio State University, June 12-22. 2016.
89. “Duration of a Minor Epidemic Near the Critical Threshold of R0 = 1”, Joint Mathematics Meeting,
Atlanta, Georgia. Special Session: Advances in Mathematics of Ecology, Epidemiology and Immunology
of Infectious Diseases. January 6-7, 2017.
90. “Environment, Host and Pathogen Diversity on Probability of Disease Extinction”, Biology and Medicine
Through Mathematics Conference, Virginia Commonwealth University, May 18-20, 2017. PLENARY
Speaker.
91. “Probability of Outbreak and Time to Outbreak in Viral Zoonotic Infectious Diseases”, University of
Victoria, September 21, 2017. PIMS-UVic Distinguished Lecture.
92. “The Duration of a Minor Epidemic in Stochastic Models of Infectious Diseases’”, Sixth International
Conference on Mathematical Modeling and Analysis of Populations in Biological Systems”, October 20-
22, 2017, University of Arizona.
93. “An Examination of Superspreading using Stochastic Multigroup Infectious Disease Models”, MBI Work-
shop: Disease Ecology/Eco-Epidemiology. Ohio State University. Invited Speaker. March 26-30, 2018.
94. “The Probability and Duration of Epidemics in Stochastic MultiStage and MultiGroup Models”, University
of Minnesota, IMA Workshop: Ecological and Biological Systems. University of Minnesota. Invited
Speaker, June 4-8, 2018.
95. “Extinction thresholds in stochastic epidemic models with periodic environments”, Special AMS session
on Mathematical Biology with a focus on modeling, analysis, and simulation. Invited. October 27-28,
2018. AMS Western Sectional Meeting, San Francisco, CA.
96. “The impact of demographic and environmental variability on disease emergence in stochastic epidemic
models”, Computational and Mathematical Population Dynamics 5, Fort Lauderdale, Florida. May 21,
2019. PLENARY Speaker.
97. “Stochastic Epidemic Model for Zoonotic Spillover”, Society for Mathematical Biology Annual Meeting,
University of Montreal, Canada, July 22, 2019.
98. “Demographic Variability, Environmental Variability, and Periodic Fluctuations in Stochastic Epidemic
Models with Multiple Patches”, Society for Mathematical Biology Annual Meeting, University of Montreal,
Canada, July 24, 2019.
99. Workshop Participant: BANFF International Research Station workshop “New Mathematical Methods
for Complex Systems in Ecology’, July 28-August 2, 2019. Organized by A. Hastings, Mark Lewis, and
Andrew Morozov.
100. “Stochastic Epidemic Models of Zoonotic Spillover”, Invited Talk at BioHasard 2019, International Con-
ference on Stochastic Models for Biology, August 26-29, 2019, Rennes, France, August 28, 2019.
101. “Probability of a Zoonotic Spillover in a Fluctuating Environment”, ICMA VII, Arizona State University,
October 12, 2019.
102. “Modeling of Viral Zoonotic Infectious Diseases from Wildlife to Humans”. Joint Mathematics Meetings
2021, AMS-MAA INVITED ADDRESS.January 8, 2021.
Conference, Special Session, and Workshop Organization
1. Session: “Mathematical modeling in population dynamics,” Mathematical Theory of Networks and Systems–
96, St. Louis, Missouri, June 1996.
2. Session: “Mathematics for the Life Sciences” Lubbock, Texas, Jan. 1998.
3. Session in Honor of the 65th Birthday of T. G. Hallam, Annual Meeting of the Society for Mathematical
Biology, University of Tennessee, July 2002 with A. Ackleh.
4. Session: “Structured Population and Epidemic Models: Periodicity, Chaos, and Extinction,” for the Joint
AMS Central and Western Section Meeting with S. R. Jang, Boulder, CO, Oct. 2-4, 2003
5. Session: “Extinction, Periodicity and Chaos in Population and Epidemic Models,” for the AMS Spring
Central Sectional Meeting with S. R. Jang and L. Roeger, Lubbock, TX, April 8-10, 2005.
6. Session: “Recent Advances in Mathematical Biology and Epidemiology”, for the AMS-MAA Joint National
Meeting, with S. R. Jang and L. Roeger, San Antonio, TX, January 12-15, 2006
7. Session: “Recent Advances in Mathematical Biology, Ecology, and Epidemiology”, for the AMS-MAA
Joint Mathematics Meeting with S. R. Jang and L. Roeger, New Orleans, LA, Jan. 5-8, 2007.
8. CONFERENCE: “Over the Fence: Mathematicians and Biologists Talk about Bridging the Curricular
Divide,” Mathematical Biosciences Institute, Ohio State University with J. Galovich, S. Deckelman, and
E. Marschall, June 1-2, 2007.
9. Session: “Recent Advances in Mathematical Biology, Ecology, and Epidemiology”, for the AMS-MAA
Joint National Meeting with S. R. Jang and L. Roeger, San Diego, CA, Jan. 6-9, 2008.
10. Session: “Modeling in Biology, Ecology and Epidemiology” for the AMS-MAA Joint Mathematics Meetings
with L. Roeger and S. R. Jang, San Francisco, CA, Jan. 13-16, 2010.
11. NIMBioS Investigative Workshop: “Mathematical Modeling of Wildlife and Viruses Zoonoses”, University
of Tennessee, Knoxville. Organized with C. Jonsson and P. van den Driessche, November 8-10, 2010.
12. Session, “Structured Models in Ecology, Evolution, and Epidemiology: Periodicity, Extinction, and Chaos”,
AMS special session at the Joint Mathematics Meetings with S. R. Jang and L. Roeger, New Orleans,
Jan. 7, 2011.
13. NIMBioS Tutorial: “Stochastic Modeling in Biology”. Organized with E. J. Allen and J. Xiong, University
of Tennessee, Knoxville, March 16-18, 2011.
14. Workshop Organizing Committee: Workshop 4: Evolution and Spread of Disease, Mathematical Bio-
sciences Institute with S. Blower, S. Meleard, and H. Wearing, Ohio State University, March 19-23, 2012.
15. Summer School: Organizing Committee, 2012 MBI-NIMBioS-CAMBAM Summer Graduate Program on
”Stochastics Applied to Biological Systems”, Mathematical Biosciences Institute with L. Marschall, chair;
L. Kubatko, S. Lenhart, and L. Popovic, Ohio State University, June 18 - June 29, 2012.
16. Short Term Visit at NIMBioS, Stochastic Models for the Spread of a Vector Transmitted Viral Disease in
Plant Populations, with V. Bokil, University of Tennessee, December 10-20, 2012.
17. CONFERENCE: The Fourth International Conference on Mathematical Modeling and Analysis of
Populations in Biological Systems (ICMA IV), Texas Tech University, Chair of Organizing Committee.
Organizers: E Allen, S Jang, B Ghosh, A Ibragimov, S Jang, N McIntyre, L-I Roeger, R. Strauss, October
4-6, 2013.
18. NIMBioS Investigative Workshop: “Vector Transmission of Plant Viruses”. Organized with V. A. Bokil,
E. T. Borer, A. G. Power and F. Van Den Bosch, March 17-19, 2014.
19. Session “Mathematical Models of Infectious Diseases in Plants, Animals and Humans”, AMS Central
Section Meeting, with V. A. Bokil, Texas Tech U., April 11-13, 2014.
20. MAA Invited Paper Session “Recent Advances in Mathematical Modeling of the Environment and Infec-
tious Diseases”, JMM 2015, San Antonio, Texas, January 10-13, 2015.
21. NIMBioS Working Group, ”Multiscale Vectored Plant Viruses”. Organized with V. A. Bokil and A. G.
Power. First Meeting December 14-16, 2015; Second Meeting June 22-24, 2016; Third Meeting December
19-21, 2016, Fourth Meeting December 18-20, 2017, Fifth Meeting August 7-9, 2019.
22. Workshop “Scientific Computing meets Machine Learning and Life Sciences”, October 7-9, 2019. Co-
Organisers: C. Wang, LJS Allen, R Hewlett, and J Su.
23. XVIII Red Raider Minisymposium 2021: ”Modeling in a Heterogeneous World”, August 20-21, 2021.
Co-Organizers: A Peace, J Padgett, W Zhang, LJS Allen, and K Schmidt.
Professional Committees
1. Aulbach Prize Committee Member, ISDE, 2021-current.
2. Selection Committee for the AWM-SIAM Sonia Kovalevsky Lecture, 2019-2021.
3. Selection Committee for the SIAG/Life Sciences Early Career Prize, 2019-2021.
4. SIAM Fellows Canvassing Committee Member, 2018-2019.
5. WAMB (Women Advancing Mathematical Biology) Emphasis Workshop: Understanding Complex Bio-
logical Systems with Mathematics, Senior Project Leader, MBI, The Ohio State University, with co-leader
A. Peace. April 24-28, 2017.
6. AWM Dissertation Prize Committee, Committee Member, 2017; Chair, 2016, 2018.
7. Advisory Board Committee, NIMBioS, University of Tennessee, 2015-2018.
8. Scientific Advisory Committee, ICDEA2016, 22nd International Conference on Difference Equations and
Applications, Osaka, Japan, July 2016.
9. Lord May Prize Selection Committee for Journal of Biological Dynamics , Chair, 2015, 2017, 2019, 2021.
10. Malaria Host Pathogen Working Group, MaHPIC, Emory University, 2014-2018.
11. Board of Directors for International Society of Difference Equations, 2011-2013; 2013-2015.
12. Scientific Advisory Committee, ICMA VIII, University of Louisiana at Lafayette, 2021; Scientific Commit-
tee and Organizing Committee, ICMA VII, Arizona State University, 2019; Organizing Committee, ICMA
VI, University of Arizona, 2017; Scientific Advisory Committee, ICMA V, University Western Ontario,
2015; Scientific Advisory Committee and Organizing Committee, ICMA IV, Texas Tech University, 2013.
13. Organizing Committee, Mathematical Biosciences Institute, Emphasis Year on Stochastics in Biological
Systems for 2011-2012.
14. Scientific Advisory Committee, International Conference on Difference Equations and Applications, ICDEA
2011.
15. Scientific Advisory Committee, Mathematical Biosciences Institute, The Ohio State University, 2009-2011.
16. Scientific and International Organizing Committee, Third Conference on Computational and Mathematical
Population Dynamics (CMPD3), Bordeaux, France, 2010.
17. Nominating Committee, SIAM Activity Group (SIAG) on Life Sciences, 2008.
18. 10th Bellman Prize Committee, Mathematical Biosciences, 2004.
19. Scientific Committee, Annual Meeting of the Society for Mathematical Biology, Knoxville, Tennessee,
2002.
Referee and Review Activities
1. Tenure & Promotion Letters, 2000-2021.
2. Referee for > 60 journals:
American Journal of Epidemiology, American Midland Naturalist, The American Naturalist, Applied
Mathematics and Computation, Applicable Analysis and Discrete Mathematics, Applied Mathematics
Letters, Biotropica, Bulletin of Mathematical Biology, Bulletin of the Iranian Mathematical Society, Cana-
dian Applied Mathematics Quarterly, Communications in Applied Analysis, Communications in Mathe-
matical Sciences, Computers & Mathematics with Applications, Discrete and Continuous Dynamical
Systems–Series B, Discrete Dynamics in Nature and Society, Ecological Applications, Ecology/Ecological
Monographs, Ecological Modelling, Epidemics, European Physical Journal B, Evolution, Field Institute
Communications Series, Frontiers in Ecology and the Environment, IEEE Transactions on Automatic
Control, Indian Journal of Pure and Applied Mathematics, Infectious Disease Modelling, International
Journal for Numerical Analysis and Modeling, International Journal of Mathematics and Mathematical
Sciences, International Journal of Differential Equations, Inverse Problems, Journal of Applied Mathemat-
ics, Journal of the Arkansas Academy of Science, Journal of Biological Dynamics, Journal of Biological
Systems, Journal of Difference Equations and Applications, Journal of Mathematical Analysis and Ap-
plications, Journal of Mathematical Biology, Journal of Mathematical Systems, Estimation and Control,
Journal of the Royal Society Interface, Journal of Statistical Physics, Journal of Theoretical Biology,
Letters in Biomathematics, Linear Algebra and Its Applications, Mathematical Biosciences, Mathematical
Biosciences and Engineering, Mathematical and Computer Modelling, Mathematical Methods in Applied
Sciences, Mathematical Population Studies, Natural Resource Modeling, Nonlinear Analysis, Nonlinear-
ity, Notices of the AMS, PLoS One, Proceedings of the Royal Society, Rocky Mountain Journal of
Mathematics, SIAM Journal of Applied Mathematics, SIAM Undergraduate Research Online, Statistics
in Medicine, Stochastic Analysis and Applications, Stochastic Models, Theoretical Biology and Medical
Modelling, Theoretical Ecology, Theoretical Population Biology, Vector-Borne and Zoonotic Diseases.
3. Referee for the following proceedings:
Proceedings of the 2000 Third World Congress of Nonlinear Analysts, Proceedings of the 2000 Conference
for African American Researchers in the Mathematical Sciences, Proceedings of the 2002 Conference on
Mathematical Population Modelling held in Poland, Proceedings of the 2005 Joint Summer Research
Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges.
4. Reviewed individual NSF proposals submitted to the Divisions of Mathematical Sciences and Environ-
mental Biology and other programs, 1994-2015.
5. NSF and NIH Review Panels and Workshops: 1995-1997, 2000-2004, 2007-2010, 2012, 2014-2015, 2017-
2018.
6. Centers for Disease Control and Prevention Panel, 2007.
7. Expert Evaluator and Reviewer:
•Mathematics of Information Technology and Complex Systems (MITACS) of Canada. MITACS is a
federally funded Network of Centres of Excellence in Canada which includes the Centre de recherches
math´ ematiques, Universit´ e de Montr´ eal, The Fields Institute for Research in Mathematical Sciences,
Toronto and The Pacific Institute for the Mathematical Sciences, Vancouver, 2001, 2005, 2008.
•National Science and Engineering Council (NSERC) of Canada. NSERC is a government funding agency
of Canada that supports both basic university research through discovery grants and project research
through partnerships among universities, governments and the private sector, 2000, 2006, 2007, 2008,
2011-2013, 2015, 2018-2020.
•University of Antwerpen Research Council, Belgium, 2007.
•Texas Higher Education Coordinating Board, Minority Health Research and Education Grant Program,
2001.
University Service
1. Department of Biological Sciences, Infectious Diseases/Zoonoses Hiring Search Committee Member, 2020-
2021.
2. University Blue Ribbon Search Committee in the Sciences, 2015.
3. Departmental Chair Search Committee, Mathematics and Statistics, 2015-2016.
4. Arts and Sciences Research Council, 1991-1994.
5. Arts and Sciences Committee on Academic Programs (ASCAP), 1996-1999.
6. Arts and Sciences Tenure and Promotion Committee, 1999-2002.
7. Promotion Advisory Committee J McComb, Department of Health, Exercise, and Sport Sciences, 2003.
8. Multidisciplinary Seed Grant Review Panel for Fall 2002 and Fall 2004 programs.
9. Internal Program Review Committee for Department of Biological Sciences, 2001.
10. Panel Member for the Thesis/Dissertation Symposium, May 2002.
11. Arts and Sciences Mentoring program, 2000-2003, 2005.
12. Paul Whitfield Horn Fellowship Committee, University Quarterly Club, 1989-1991.
13. Arts and Sciences Paul Whitfield Horn Selection Committee.
14. Vice President (1990-1991) and President (1991-1992), Texas Tech Chapter of the Texas Association of
College Teachers.
15. Committee Member on more than 40 Graduate Advisory Committees in Mathematics and Statistics,
Biological Sciences, Range & Wildlife, Others.
Paul Whitfield Horn Professorship
Sponsored Departmental/University Events:
1. Established and funded the Institute Partnership with the Mathematical Biosciences Institute, Ohio State
University in 2011. Supports interactions with MBI and the Departments of Mathematics and Statistics
and Biological Sciences at TTU, 2011-2020.
2. Established and funded the Annual Public Distinguished Mathematics Lecture Series, 2012-2016: October
2012: First Distinguished Lecturer, H. T. Banks, North Carolina State University; March 2014: Second
Distinguished Lecturer, J. P. Keener, University of Utah; March 2015: Third Distinguished Lecturer,
Bernd Sturmfels, UC Berkeley; April 2016: Fourth Distinguished Lecturer, Reinhard Laubenbacher, U
Conn Health.
3. Partial Financial Support for: The Fifteenth Red Raider Minisymposium: Spatial Inference on Manifolds,
Spatial Statistics, Statistics on Manifolds, Differential Geometry, and Computational Science, November
6-7,2015. The Sixteenth Red Raider Minisymposium: Commutative & Homological Algebra, October
26-28, 2017. The Seventeenth Red Raider Minisymposium: Current Trends in Numerical Analysis and
Scientific Computing, October 27, 2018. Workshop: “Scientific Computing meets Machine Learning
and Life Sciences”, October 7-9, 2019. The Eighteenth Red Raider Minisymposium: “Modeling in a
Heterogeneous World”, August 20-21, 2021.
4. Accommodations and travel for visiting early career investigators from US and Canadian institutions, as
part of the Women Advancing Mathematical Biology (WAMB) group on superspreaders. July 28-August
1, 2017 and November 15-18, 2019.
5. Funded Visitors to TTU to give colloquia/seminars: Suzanne Lenhart, UTK; Helen Wearing, UNM; Mary
Ann Horn, NSF; Sherry Towers, ASU; Xueying Wang, WSU.
Departmental Service
Committees:
1. Hiring Committee for Biomathematics Position, Chair, 2016-2017.
2. Hiring Committee, 1993-1997, 2000-2001, 2003-2004, 2010-2011, 2014-2015.
3. Executive Committee, 1999-2001, 2004-2006, 2007-2009, 2013-2015, 2018-2019.
4. Distinguished Public Lecturer Committee, 2012-2016.
5. Travel Committee, 2013.
6. Graduate Committee, 1988-1992, 2002-2004, 2006-2008.
7. Search Committee, Dick and Martha Brooks Regents Endowed Professorship, 2004-2006.
8. Comprehensive Review Committee, 2002-2003.
9. Third Year Review Committees, 2004, 2005, 2010, 2011, 2018.
10. Undergraduate Committee, 1994-1995.
11. Strategic Planning Committee, 2000-2001.
12. Awards Committee, 2001-2002.
13. Coorganized sessions on Mathematics at TTU Girl Scout Conferences, 1993, 1994, 1995.
Faculty Advisor and Course Development :
•Developed Graduate Courses: Biomathematics I and II and Topics in Biomathematics.
•Advisor for freshmen and transfer mathematics majors, 1994-1998.
•Faculty Advisor to the Undergraduate Student Chapter of MAA, 1991-1995.
Other Service:
•Organizer and Speaker in the Departmental Biomathematics Seminar, 1991-2005, 2007-2017.
•Organized Sessions and workshops for Emmy Noether High School Day, 2003, 2004, 2010, 2011.
•Career Panel, Emmy Noether High School Day, 2013.
•Mentor to Junior Faculty, 2000-current.