Educational Background

• 1981, Ph.D., Mathematics, University of Tennessee, Knoxville. Advisor: T.G. Hallam.
• 1978, M.S., Mathematics, University of Tennessee, Knoxville.
• 1975, B.A., Mathematics, College of St. Scholastica, Duluth, Minnesota.

Professional Positions

• 2006, 2012 Long Term Visitor, Mathematical Biosciences Institute, Ohio State U, Spring Semester
• 1999-present, Adjunct Professor, The Institute for Environmental and Human Health, Texas Tech
• 1998-present, Professor, Department of Mathematics and Statistics, Texas Tech
• 1991-1998, Associate Professor, Department of Mathematics, Texas Tech
• 1985-1991, Assistant Professor, Department of Mathematics, Texas Tech
• 1982-1985, Assistant Professor, Department of Mathematics, U of North Carolina at Asheville.
• 1981-1982, Visiting Assistant Professor, Department of Mathematics, U of Tennessee, Knoxville.
• 1975-1981, Research and Teaching Assistant, Department of Mathematics, U of Tennessee, Knoxville.
• 1977, Technical Assistant, Environmental Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee.

Professional Activities and Memberships

• Senior Advisory Board, Natural Resource Modeling, 2008-present.
• Editorial Board, Journal of Biological Systems, 2012-present
• Editorial Board, Journal of Biological Dynamics, 2008-present.
• Editorial Board, Journal of Difference Equations and Applications, 2007-present.
• Editorial Board, Journal of Theoretical Biology, 2006-present.
• Editorial Board, Mathematical Biosciences and Engineering, 2012-present.
• 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.
• Scientific Advisory Committee, Mathematical Biosciences Institute, The Ohio State University, 2009-2011.
• International Society of Difference Equations, Board of Directors, 2011-2013; 2013-2015.
  
• Member:
  • Society for Mathematical Biology
  • Association for Women in Mathematics
  • International Society of Difference Equations
  • Mathematical Association of America
  • Society of Industrial and Applied Mathematics

Awards and Honors

• SIAM Fellow, 2016
• Paul Whitfield Horn Professor, TTU, 2010.
• Barnie E. Rushing, Jr. Faculty Distinguished Research Award, TTU, 2007
• Mathematics Professor of the Year, Kappa Mu Epsilon, TTU, 2012.
• Taylor & Frances Best Paper Award 2005 for ``SIS epidemic models with multiple pathogen strains'', Journal of Difference Equations and Applications [48]
• Alum of the Month, College of St. Scholastica, November 2003.
• Outstanding Faculty Mentor, TTU McNair Scholars Program, 1999.
• Graduate Professor of the Year, TTU Chapter of SIAM, 1997-1998.

Selected Grants

1. NSF, Development and Analysis of Three-Species Epidemic Models. 7/92 - 12/94.
2. NSF, Development and Analysis of Models for the Spread and Control of Weeds and Infectious Diseases. Co-P.I.: E. Allen and M. McGinley. 7/96 - 8/00.
3. TTU Graduate School Summer Research Awards for Graduate Students, Faculty Investigator in 1988 (Douglas Hallam), 1995 (David Thrasher), and 2004 (Robert McCormack).
4. TTU, Interdisciplinary/Multidisciplinary Seed Fund Project, Epidemic Models Applied to the Study of Disease Evolution in Plant Pathosystems. Co-PI: R. Strauss. 1/00-6/01.
5. Texas Higher Education Coordinating Board, Advanced Research Program, Occurrence, Frequency, Duration, Size and Spread of Epidemics in Stochastic Structured Models. 01/00-08/02.
6. NSF, Dynamics and Evolution of Emerging Diseases with Applications to Amphibians. Co-PI: E. Allen, S. McMurry, M. San Francisco, L. Smith, L. Rollins-Smith. 05/02-06/07.
7. NIH, The Impact of Rapid Anthropogenic Land Cover Change in the Chaco and Interior Atlantic Forest in Paraguay on Hantavirus Ecology. PI: C. Jonsson, Co-PI: R. Owen, L. Allen, M. Almiron, Y. Chu, D. Goodin, S. Hutchinson, E. Pontelli, D. Ranjan, S. Tran. 03/04-04/08.
8. Texas Higher Education Coordinating Board, ARP, Metapopulation Models for the Playa Lakes of the Southern High Plains. 5/06-5/08.
9. NSF, Stochastic Metapopulation Models Applied to Amphibians on the Southern High Plains. Co-PI: E. Allen, S. McMurry, and L. Smith. 9/07-8/10.
10. Mathematical Biosciences Institute. ICMA IV Conference. PI: L. Allen, Co-PI: E. Allen, B. Ghosh, A. Ibragimov, N. McIntyre, S. Jang, L. Roeger and R. Strauss. 9/13-12/13.
11. NSF, ICMA IV Conference. PI: L. Allen, Co-PI: E. Allen, N. McIntyre, S. Jang, and L. Roeger. Senior Personnel: A. Ibragimov and R. Strauss. 9/13-8/14.

Graduate Work Directed

• Ph.D. Students
  1. Jake Kesinger, December 2001.
  2. Nadarajah Kirupaharan, August 2003.
  3. Keith Emmert, August 2004.
  4. Robert McCormack, August 2006.
  5. Curtis Wesley, August 2008.
  6. Amy Drew, August 2009.
  7. Kumudu Mallawa Arachchi, December 2009.
  8. Glenn Lahodny,Jr., August 2012. Co-Advisor: L Roeger.
  9. Sukhitha Vidurupola, August 2013.
  
  
• Master's Students
  1. Douglas Hallam, MS, December 1988.
  2. Martha Jones, MA, May 1990.
  3. Mary Arthur, MA, December 1991.
  4. Dingyuan Lu, MS, August 1993. Co-Advisor: T Lewis.
  5. Deanna Dick, MS, December 1993. Co-Advisor: C Martin.
  6. Kim McGowan, MS, May 1994. Co-Advisor: C Martin.
  7. Paul Dacus, MS, May 1994 Co-Advisor: T Lewis.
  8. Sudasanna Ponweera, MS, December 1994. Co-Advisor: E Allen.
  9. Phyllis Cormier, MS, December 1994.
  10. Ana Paula Chamon, MA, May 1995.
  11. Kristin Sumpter, MS, July 1995.
  12. David Thrasher, MS, December 1996.
  13. David Atkinson, MS, May 1997.
  14. Amy Burgin, MS, May 1998.
  15. Ruwan Ratnayake, MS, May 1998.
  16. Jake Kesinger, MS, May 1998.
  17. Garry Block, MS, December 1998.
  18. Penelope Misquitta, MS, May 1999.
  19. Sarah Stinnett, MS, May 1999.
  20. Niranjala Perera, MS, December 2003.
  21. Kiyomi Kaskela, MS, August 2004.
  22. Robert McCormack, MS, August 2004.
  23. Amy Drew, MS, December 2004. Co-Advisor: E Allen.
  24. Yaji Xu, MS, August 2006.
  25. Chandrani Banerjee, MS, December 2007.
  26. Yuan Yuan, MS, August 2010.
  27. Sukhitha Vidurupola, MS, December 2010.
  28. Chelsea Lewis, MS, August 2011.
  29. Kristin Yearkey, MS, August 2011. Co-Advisor: V. Howle.
  30. Pooya Aavani, MS, August 2012.
  31. Mary Hebert, MS, August 2014.
  
  
• Undergraduate Work Directed
  1. Pam Lockwood, Senior Honors Project, 1993.
  2. Michael Williams, Senior Honors Project, 1996. Awarded a Mathematical Spectrum Prize for his contribution to Volume 31 of the magazine.
  3. Ralynn Ernest, Ronald E. McNair Scholar, 1998.
  4. Billy Duke, Ronald E. McNair Scholar, 2000.
  5. David Flores, 2000.
  6. Sherri Wilson, Senior Honors Project, 2001.
  7. Jennifer Tang, Ronald E. McNair Scholar, 2008. Co-Advisor: E. Allen.
  8. John Fenske, REU, 2010.
  9. Kaylee Holloway and Robert Wallette, PRISM Scholars, 2012-2013.
  10. Robert Wallette, 2014.

Books

1. Allen, L. J. S. An Introduction to Stochastic Processes with Applications to Biology. Prentice Hall. 2003. Second Edition, Chapman Hall/CRC Press, Boca Raton, FL, 2010.
2. Allen, L. J. S. An Introduction to Mathematical Biology. Prentice Hall. 2007.

Book Chapters

1. Hallam, T. G. and L. J. 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, 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.
3. Martin, C., L. Allen, M. Stamp, M. Jones, R. Carpio. 1993. A model for the optimal control of a measles epidemic. Computation and Control III. Proceedings of the Third Bozeman Conference, Aug. 5-11, 1992. Birkhauser, Boston. pp. 265-283.
4. Allen, L. J. S., M. K. Hannigan, and M. J. 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, L. J. S. and E. J. 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. J. S. and R. K. Ernest. 2001. The impact of long-range dispersal in population and epidemic models. ``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.
7. Allen, L. J. S. and J. C. 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. Lopez Fenner, G. Ladas, and M. Pinto (Eds.), Taylor and Francis, London and New York, pp. 15-31.
8. Allen, L. J. S., E. J. Allen, and C. B. Jonsson. 2006. The impact of environmental variation on hantavirus infection in rodents. AMS Contemporary Mathematics Series. C. Castillo-Chavez, D. P. Clemence, and A. B. Gumel, Eds. Proceedings of the Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges., AMS Providence, RI,pp. 1-15.
9. McCormack, R. K. and L. J. S. Allen. 2006. Stochastic SIS and SIR multihost epidemic models. Proceedings of the Conference on Differential & Difference Equations and Applications. R. P. Agarwal and K. Perera, Eds., Hindawi Pub. Co., pp. 775-786.
10. Allen, L. J. S. Chapter 3: An Introduction to Stochastic Epidemic Models. Mathematical Epidemiology, Lecture Notes in Mathematics, Vol. 1945, F. Brauer, P. van den Driessche, and J. Wu (Eds.), pp. 81-130, Springer Series (2008).
11. Allen, L. J. S. 2012. Branching Processes. In: Encyclopedia of Theoretical Ecology. A. Hastings and L. Gross (Eds.) pp. 112-119. University of California Press.
12. Allen, L. J. S. and E. J. Allen. 2013. 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. In press.

Edited Volumes

1. Difference Equations and Discrete Dynamical Systems. Proceedings of the 9th International Conference. World Scientific Publishing, 2005. L. J. S. Allen, B. Aulbach, S. Elaydi, and R. Sacker (Eds.)
2. Special Issue Journal of Biological Dynamics. Proceedings of a Special Session at the American Mathematical Society Meeting,New Orleans, January 2007. Volume 1(4) 2007. L. J. S. Allen, S. R. Jang, and L. Roeger (Eds.)

Journal Publications

1. Hallam, T. G., L. J. Svoboda (Allen), and T. C. Gard. 1979. Persistence and extinction in three species Lotka-Volterra competitive systems. Mathematical Biosciences, 46: 117-124.
2. DeAngelis, D. L., L. J. Svoboda (Allen), S. W. Christensen, and D. S. Vaughan. 1980. Stability and return times of Leslie matrices with density-dependent survival: Applications to fish populations. Ecological Modelling, 8: 149-163.
3. Allen, L. J. S. 1983. Persistence and extinction in Lotka-Volterra reaction-diffusion equations. Mathematical Biosciences, 65: 1-12.
4. Allen, L. J. S. 1983. Persistence and extinction in single-species reaction-diffusion models. Bulletin of Mathematical Biology, 45: 209-227.
5. Allen, L. J. S. 1985. Fuzzy Sets. Consortium The Newsletter of the Consortium for Mathematics and its Applications. Lexington, MA, December 1985, pp. 3,8.
6. Allen, L. J. S. 1986. Fuzzy set theory. Mathematical Spectrum, 19: 40-45. Reprinted in A Mathematical Spectrum Miscellany. 2000. Applied Probability Trust, pp. 122-127.
7. Allen, L. J. S. 1987. Persistence, extinction, and critical patch number for island populations. Journal of Mathematical Biology, 24: 617-625.
8. Allen, L. J. S. 1989. A density-dependent Leslie matrix model. Mathematical Biosciences, 95: 179-187.
9. Allen, L. J. S., M. P. Moulton, and F. L. Rose. 1990. Persistence in an age-structured population for a patch-type environment. Natural Resource Modeling, 4:197-214.
10. Allen, L., T. Lewis, C. F. Martin, and M. Stamp. 1990. A mathematical analysis and simulation of a localized measles epidemic. Applied Mathematics and Computation, 39: 61-77.
11. Allen, L. J. S., M. A. Jones, and C. F. Martin. 1991. A discrete-time model with vaccination for a measles epidemic. Mathematical Biosciences, 105: 111-131.
12. Allen, L. J. S. 1991. Discrete and Continuous Mathematical Models of Populations and Epidemics. Journal of Math. Systems, Estimation, and Control, 1: 335-369.
13. Allen, L. J. S., M. J. Strauss, H. G. Thorvilson, and W. N. Lipe. 1991. A preliminary mathematical model for the apple twig borer and grapes on the Texas High Plains. Ecological Modelling, 58: 369-383.
14. Allen, L. J. S., E. J. Allen, C. R. G. Kunst, and R. E. Sosebee. 1991. A diffusion model for dispersal of cholla on rangeland. Journal of Ecology, 79: 1123-1135.
15. Moulton, M. P., L. J. S. Allen, D. K. Ferris. 1992. Competition, coexistence and habitat selection in two introduced Hawaiian Mannikins. Biotropica, 24: 77-85.
16. Allen, E. J., J. M. Harris, and L. J. S. Allen. 1992. Persistence-time models for use in viability analyses of vanishing species. Journal of Theoretical Biology, 155: 33-53.
17. Allen, L. J. S., M. K. Hannigan, and M. J. Strauss. 1993. Mathematical analysis of a plant-herbivore system. Bulletin of Mathematical Biology, 55: 847-864.
18. Allen, L. J., T. Lewis, C. F. Martin, G. Mundel, A. B. Way, C. K. Lo, M. A. Jones, and M. Stamp. 1993. Analysis of a measles epidemic. Statistics in Medicine, 12: 229-239.
19. Lockwood, P. and L. J. S. 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.
20. Allen, L. J. S. 1994. Some discrete-time SI, SIR, and SIS epidemic models. Mathematical Biosciences. 124: 83-105.
21. Martin,C. F., L. J. S. Allen, and M. Stamp. 1995. Urn model simulations of a sexually transmitted disease epidemic. Applied Mathematics and Computation. 71: 179-199.
22. Allen, L. J. S. and P. J. Cormier. 1996. Environmentally-driven epizootics. Mathematical Biosciences. 131: 51-80.
23. Martin, C. F., L. J. S. 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.
24. Allen, E. J., L. J. S. Allen, and X. Gilliam. 1996. Dispersal and competition models for plants. Journal of Mathematical Biology. 34: 455-481.
25. Allen, L. J. S., E. J. Allen, and S. Ponweera. 1996. A mathematical model for weed dispersal and control. Bulletin of Mathematical Biology. 58: 815-834.
26. Allen, L. J. S. 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.
27. Williams, M. J. and L. J. S. 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.)
28. Allen, L. J. S., E. J. Allen, and D. Atkinson. 1999. Integrodifference equations applied to plant dispersal, competition, and control. Fields Institute Communications 21: 15-30.
29. Jang S. R. -J. and L. J. S. Allen. 1999. A simple food chain with a growth inhibiting nutrient. Applied Mathematics and Computation. 104: 277-298.
30. Allen, L. J. S. and A. Burgin. 2000. Comparison of deterministic and stochastic SIS and SIR models in discrete time. Mathematical Biosciences. 163: 1-33.
31. Block, G. L. and L. J. S. Allen. 2000. Population extinction and quasi-stationary behavior in stochastic density-dependent structured models. Bulletin of Mathematical Biology. 62: 199-228.
32. Allen, L. and C. Martin. 2000. Black Death, AIDS, and Mathematics: What's the Connection? Lubbock Magazine. 6(2): 56-61.
33. Kesinger, J. C., L. J. S. Allen, R. E. Strauss. 2001. Discrete-time models for gene frequencies and population densities in plant pathosystems. Nonlinear Analysis 47: 1489-1500.
34. Allen, L. J. S. 2001. SI and SIR Epidemic Models. Journal of Difference Equations and Applications. Open Problems and Conjectures. 7: 759-761.
35. Kesinger, J. C. and L. J. S. Allen. 2002. Genetic models for plant pathosystems. Mathematical Biosciences 177-178: 247-269.
36. Allen, L. J. S., D. A. Flores, R. K. Ratnayake, and J. R. Herbold. 2002. Discrete-time deterministic and stochastic models for the spread of rabies. Applied Mathematics and Computation. 132: 271-292.
37. Allen, L. J. S. 2003. Risk of population extinction due to demographic stochasticity in population models. Comments on Theoretical Biology. 8: 433-454.
38. Ackleh, A. S. and L. J. S. Allen. 2003. Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size. Journal of Mathematical Biology. 47: 153-168.
39. Allen, L. J. S., M. Langlais, and C. Phillips. 2003. The dynamics of two viral infections in a single host population with applications to hantavirus. Mathematical Biosciences. 186: 191-217.
40. Allen, L. J. S. and E. J. Allen. 2003. A comparison of three different stochastic population models with regard to persistence time. Theoretical Population Biology. 64: 439-449.
41. Allen, L. J. S., N. Kirupaharan, and S. M. Wilson. 2004. SIS epidemic models with multiple pathogen strains. Journal of Difference Equations and Applications. 10: 53-75.
42. Roeger, L.-I. W. and L. J. S. Allen. 2004. Discrete May-Leonard competition models, I. Journal of Difference Equations and Applications. 10: 77-98.
43. Kirupaharan, N. and L. J. S. Allen. 2004. Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality. Bulletin of Mathematical Biology. 66: 841-864.
44. Emmert, K. E. and L. J. S. Allen. 2004. Population persistence and extinction in a discrete-time, stage-structured epidemic model. Journal of Difference Equations and Applications. 10: 1177-1199.
45. Ackleh, A. S. and L. J. S. 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.
46. Allen, L. J. S. 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.
47. Allen, L. J. S., J. F. 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.
48. Allen, E. J., L. J. S. 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.
49. McCormack, R. K. and L. J. S. Allen. 2005. Disease emergence in deterministic and stochastic models for host and pathogen. Applied Mathematics and Computation. 168(2): 1281-1305.
50. Emmert, K. E. and L. J. S. Allen. 2006. Population extinction in deterministic and stochastic discrete-time epidemic models with periodic coefficients with applications to amphibian populations. Natural Resource Modelling 19(2): 117-164.
51. Xu, D., Z. Feng, L. J. S. Allen, and R. K. Swihart. 2006. A spatially structured metapopulation model with patch dynamics. Journal of Theoretical Biology. 239(4): 469-481.
52. Drew, A., E. J. Allen, and L. J. S. Allen. 2006. Analysis of climatic and geographic factors on the presence of chyridiomycosis in Australia. Diseases of Aquatic Organisms. 68: 245-250.
53. Allen, L. J. S., R. K. McCormack, and C. B. Jonsson. 2006. Mathematical models for hantavirus infection in rodents. Bulletin of Mathematical Biology. 68(3): 511-524.
54. Allen, L. J. S. and P. van den Driessche. 2006. Stochastic epidemic models with a backward bifurcation. Mathematical Biosciences and Engineering. 3(3): 445-458.
55. McCormack, R. K. and L. J. S. Allen. 2007. Disease emergence in multi-host epidemic models. Mathematical Medicine and Biology. 24: 17-34.
56. Ackleh, A. S., L. J. S. 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.
57. McCormack R. K. and L. J. S. Allen. 2007. Multi-patch deterministic and stochastic models for wildlife diseases. Journal of Biological Dynamics. 1(1): 63-85.
58. Allen, L. J. S., B. M. Bolker, Y. Lou, and A. L. Nevai. 2007.Asymptotic profiles of the steady states for an SIS epidemic patch model. SIAM Journal of Applied Mathematics. 67(5): 1283-1309.
59. Xu, Y., L. J. S. Allen, and A. S. Perelson. 2007. A Stochastic model of an influenza epidemic with drug resistance. Journal of Theoretical Biology. 248: 179-193.
60. Allen, L. J. S., B. M. Bolker, Y. Lou, and A. L. Nevai. 2008. Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model. Discrete and Continuous Dynamical Systems-A 21(1): 1-20.
61. Allen, E. J., L. J. S. Allen, A. Arciniega, and P. Greenwood. 2008. Construction of equivalent stochastic differential equation models. Stochastic Analysis and Applications. 26: 274-297.
62. Allen, L. J. S. 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.
63. Banerjee, C., L. J. S. 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.
64. Wesley, C. L., L. J. S. Allen, C. B. Jonsson, Y.-K. Chu, and R. D. Owen. 2009. A discrete-time rodent-hantavirus model structured by infection and developmental stages. Proceedings of the Intenational Conference on Difference Equations and Applications. July 24-28, 2006, Kyoto, Japan. Advanced Studies in Pure Mathematics 53: 1-12.
65. Allen, L. J. S., Y. Lou, and A. L. Nevai. 2009. Spatial patterns in a discrete-time SIS patch model. Journal of Mathematical Biology. 58: 339-375
66. Ekanayake, A. J., J-S. Tsai, L. J. S. Allen, L. M. Smith, J. Surles, and E. J. Allen. 2009. Estimating watershed area for playas in the Southern High Plains, USA. Wetlands. 29: 387-395.
67. Wesley, C. L. and L. J. S. Allen. 2009. The basic reproduction number in epidemic models with periodic demographics. Journal of Biological Dynamics. 3: 116-129.
68. Allen, L. J. S. , C. L. Wesley, R. D. Owen, D. G. Goodin, D. Koch, C. B. Jonsson, Y.-K. 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.
69. Wesley, C. L., L. J. S. 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.
70. Ekanayake, A. J. and L. J. S. Allen. 2010. Comparison of Markov chain and stochastic differential equation population models under higher-order moment closure approximations. Stochastic Analysis and Applications. 28: 907-927.
71. Erickson, R. A., S. M. Presley, L. J. S. Allen, K. R. Long, and S. B. Cox. 2010. A stage-structured, Aedes albopictus population model. Ecological Modelling 221: 1273-1282.
72. Erickson, R. A., S. M. Presley, L. J. S. Allen, K. R. Long, and S. B. Cox. 2010. A dengue model with a dynamic Aedes albopictus vector population. Ecological Modelling. 221: 2899-2908.
73. Mallawa Arachchi, D. K., L. J. S. 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.
74. Yuan, Y. and L. J. S. Allen. 2011. Stochastic models for virus and immune system dynamics. Mathematical Biosciences. 234: 84-94.
75. Allen, L. J. S., V. L. Brown, C. B. Jonsson, S. L. Klein, S. M. Laverty, K. Magwedere, J. C. Owen and P. van den Driessche. 2012. Mathematical modeling of viral zoonoses in wildlife. Natural Resource Modelling. 25 (102): 5-51.
76. Allen, L. J. S. and G. E. Lahodny Jr. 2012. Extinction thresholds in deterministic and stochastic epidemic models. Journal of Biological Dynamics. 6(2): 590-611.
77. Erickson, R.A., K. Hayhoe, S. M. Presley, L. J. S. Allen, K. R. Long, and S. B. 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).
78. Allen, L. J. S. and V. A. Bokil. 2012. Stochastic models for competing species with a shared pathogen. Mathematical Biosciences and Engineering. 9: 461-485.
79. Vidurupola, S. and L. J. S. Allen. 2012. Basic stochastic models for viral infection within a host. Mathematical Biosciences and Engineering. 9: 915-935.
80. Allen, L. J. S. 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.
81. Lahodny, Jr., G. E. and L. J. S. Allen. 2013. Probability of a disease outbreak in stochastic multi-patch epidemic models. Bulletin of Mathematical Biology. 75:1157-1180.
82. X. Wang, R. Gautam, P. J. Pinedo, L. J. S. 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. In press.
83. Mandal, P. S., L. J. S. Allen and M. Banerjee. 2014. Stochastic modeling of phytoplankton allelopathy. Applied Mathematical Modelling. In press.
84. Allen, L. J. S. and V. L. Kocic. 2014. Resonance in Beverton-Holt population models with periodic and random coefficients. Journal of Difference Equations and Applications. In press.
85. Vidurupola, S. and L. J. S. Allen. 2014. The Impact of Variability in Stochastic Models of Bacteria-Phage Dynamics Applicable to Phage Therapy. Stochastic Analysis and Applications. In press.

Referee and Review Activities

1. Book Reviews
   • Book Review of Modelling Biological Populations in Space and Time, Cambridge Studies in Mathematical Biology, Cambridge University Press, by Renshaw, Mathematical Biosciences. 127: 123-126 (1995).
   • Book Review of Mathematics in Population Biology. Princeton University Press, by Horst R. Thieme, SIAM Review. 46: 356-358 (2004).
   • Book Review of Chaos In Ecology Experimental Nonlinear Dynamics. Academic Press, by Cushing, Constantino, Dennis, Desharnais, and Henson, Journal of Difference Equations and Applications. 13(1): 93-94 (2007).
   • Book Review of A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods by de Vries, Hillen, Lewis, Muller, and Schonfisch. SIAM, Philadelphia, 2006. SIAM Review. 49(2): 329-331 (2007).
   • Book Review of Workshop on Branching Processes and Their Applications, edited by Gonzalez Velasco, Puerto, Martinez, Molina, Mota, and Ramos. Lecture Notes in Statistics, Springer, Vol. 197, 2010. Journal of the American Statistical Association Reviews. To appear.
2. Referee for the following journals:
   • American Journal of Epidemiology
   • American Midland Naturalist
   • American Naturalist
   • Applied Mathematics Letters
   • Biotropica
   • Canadian Applied Mathematics Quarterly
   • Communications in Applied Analysis
   • Computers & Mathematics with Applications
   • Discrete and Continuous Dynamical Systems-Series B
   • Ecological Applications
   • Ecological Modelling
   • Ecology/Ecological Monographs
   • 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
   • International Journal of Mathematics and Mathematical Sciences
   • Journal of Difference Equations and Applications
   • Journal of Biological Dynamics
   • Journal of Biological Systems
   • Journal of Mathematical Analysis and Applications
   • Journal of Mathematical Biology
   • Journal of the Royal Society Interface
   • Journal of Statistical Physics
   • Journal of Theoretical Biology
   • Linear Algebra and Its Applications
   • Mathematical Population Studies
   • Mathematical Biosciences
   • Mathematical Biosciences and Engineering
   • Mathematical and Computer Modelling
   • Natural Resource Modeling
   • Nonlinear Analysis
   • Proceedings of the Royal Society
   • Rocky Mountain Journal of Mathematics
   • SIAM Journal of Applied Mathematics
   • Statistics in Medicine
   • Stochastic Analysis and Applications
   • Stochastic Models
   • Theoretical Population Biology
   • Vector-Borne and Zoonotic Diseases
3. Reviewed NSF proposals, 1994-2013.
4. Reviewed book proposal for Gordon and Breach Publishers, Inc., 1996.
5. NSF/NIH Review Panels 1995-97, 2000-2012.
6. CDC Review Panel, 2007.
7. Reviewed proposals for the Natural Sciences and Engineering Research Council of Canada, 2000, 2006-2008,2011-2013.
8. NSF Workshop on Quantitative and Integrative Biology, San Diego State University, 2000.
9. External Examiner for a Mathematics Ph.D. Dissertation: Makere University, Uganda, 2001; Arizona State University, 2006.
10. Reviewer for the Texas Higher Education Coordinating Board, Minority Health Research and Education Grant Program, 2001.
11. Expert Evaluator for the Mathematics of Information Technology and Complex Systems of Canada, 2001, 2005, 2006, 2008.

Invited Seminars, Colloquia and Lecture Series

1. North Carolina State University, April 1994.
2. Trinity University, March 1996.
3. New Mexico State University, November 1997.
4. Arizona State University, Tempe, AZ, February 1998.
5. Baylor University, Waco, TX, March 1998.
6. University of Tennessee, Knoxville, TN, October 2001.
7. Texas Christian University, February 2002.
8. University of Louisiana at Lafayette, October 2003.
9. Purdue University, West Lafayette, IN, November 2004.
10. Ohio State University, Columbus, OH, March 2006.
11. Florida Gulf Coast University, March 2007.
12. University of Nevada, Las Vegas, November 2007.
13. Midwestern University, Wichita Falls, TX, May 2008.
14. National Center for Theoretical Sciences of the National Tsing Hua University in Taiwan, An Intensive Course in Stochastic Processes and Stochastic Differential Equations in Mathematical Biology, Hsinchu, Taiwan, August 2008.
15. University of Texas at Arlington, November 2009.
16. Oakland University, Rochester, MI, March 2010.
17. Trinity University, San Antonio, TXApril 2010.
18. University of Florida, Gainesville, Florida, February 2011.
19. Universidade do Porto, Portugal, Mathematical Modeling of Infectious Diseases, Third Porto Meeting on Mathematics for Industry, Centro de Mathematica, April 2011.
20. University of Nevada, Las Vegas, November 2011.
21. Ohio State Univrsity, Columbus, OH, February, 2012.
22. Southern Illinois University, Carbondale, IL, October 2012.
23. Middle Tennessee State University, Murfreesboro, TN, March 2013.

Professional Conference and Workshop Presentations

1. SEAS-SIAM Meeting, Columbia, South Carolina, April 1978.
2. SEAS-SIAM Meeting, Atlanta, Georgia, April 1981.
3. Southeast Mathematical Ecology Conference, Knoxville, Tennessee, April 1984.
4. National SIAM Meeting, Tempe, Arizona, October 1985.
5. Symposium on Population Modeling and Ecology of Playa Lakes, Texas Tech U., May 1986.
6. Southeast Mathematical Ecology Conference, Charleston, South Carolina, April 1987.
7. National SIAM Meeting, Minneapolis, Minnesota, July 1988.
8. Southeast Mathematical Ecology Conference, Wakulla Springs, Florida, March 1989.
9. Texas Section Meeting of the MAA, Denton, Texas, March 1990.
10. Symposium on Statistical Methods for Evaluation of Intervention and Prevention Strategies, CDC, Atlanta, Georgia, December 1990.
11. Biometric Society ENAR Spring Meeting, Houston, Texas, March 1991.
12. Texas Section Meeting of the MAA, Houston, Texas, April 1992.
13. World Congress of Nonlinear Analysts. Tampa, Florida, August 1992.
14. Texas Section Meeting of the MAA, Abilene, Texas, April 1993. Plenary Address.
15. Annual Southeastern Mathematical and Statistical Ecology Conference. Raleigh, North Carolina, April 1994.
16. Symposium on Mathematics and Medicine. Texas Tech U. Health Sciences Center. Lubbock, Texas. April 1994.
17. The First International Conference on Difference Equations. Trinity U., San Antonio, Texas, May 1994.
18. Fourth Autumn Course on Mathematical Ecology. International Center for Theoretical Physics, Trieste, Italy, October-November 1994. Invited Lectures.
19. Southwest Regional Institute on Mathematical Sciences (SWRIMS) Conference on Modeling in Population Dynamics. Utah State U., August 1995.
20. Mathematics for Undergraduate Life Sciences Students. Iowa State U., Ames, Iowa. May 1996.
21. Mathematical Theory of Networks and Systems-96. Washington U., St. Louis, Missouri. June 1996.
22. 47th Annual Conference on Diseases in Nature Transmissible to Man. Texas Tech U. Health Sciences Center, Lubbock, Texas. June 1997.
23. MAA Short Course on Epidemiology Modeling, cosponsored by CDC, Atlanta, Georgia. July 31-August 1, 1997.
24. International Conference on Differential Equations with Applications to Biology. Halifax, Nova Scotia. July 1997.
25. AMS, Fall Western Sectional Meeting, Albuquerque, New Mexico. November 1997.
26. Mathematics of the Life Sciences. Texas Tech U., January 1998.
27. Workshop on Heterogeneous Problems in Ecology and Epidemiology. International Conference on Mathematical Population Dynamics. Zakopane, Poland. June 1998.
28. Joint Mathematics Meetings. AMS Special Section. San Antonio, Texas. January 1999.
29. Workshop participant at the Institute for Mathematics and Its Applications, U. of Minnesota, May, 1999.
30. Workshop on Mathematical Epidemiology. Pacific Institute for the Mathematical Sciences. U. of British Columbia, Vancouver, Canada. July 1999. Principal Speaker.
31. Fifth International Conference on Difference Equations, Univ. de la Frontera, Temuco, Chile. January 2000.
32. Southeastern Sectional Meeting of the AMS. AMS Special Section. Layfayette, Louisiana. April 2000.
33. Third World Congress of Nonlinear Analysts 2000. Catania, Italy. July 2000.
34. Sixth SIAM Conference on Application of Dynamical Systems. Snowbird, Utah. May 2001.
35. DIMACS, Center for Discrete Mathematics & Theoretical Computer Science, Summer School Tutorial on Dynamic Models of Epidemiological Problems, Rutgers U., New Jersey. June 2002.
36. Annual Meeting of the Society for Mathematical Biology and International Conference on Mathematics and Biology, U. of Tennessee, Knoxville, July 2002.
37. Minisymposium at the SIAM Conference on the Applications of Dynamical Systems, May 27-30, 2003.
38. Joint AMS Central and Western Section Meeting, Boulder, CO, October 2-4, 2003.
39. Thirty-third Annual Lloyd Roeling/University of Louisiana at Lafayette Mathematics Conference, October 24-26, 2003.
40. National Joint MAA/AMS Meeting in Phoenix, Arizona, January 7-10, 2004.
41. MAA PREP Workshop: Mathematics Meets Biology: Epidemics, Data Fitting, and Chaos, University of Louisiana, Lafayette, May 26-29, 2004, Invited Lecturer.
42. PIMS-MITACS-MSRI Special Program on Infectious Diseases Summer School, Banff International Research Station, Alberta, Canada, June 19-27, 2004, Invited Lecturer.
43. 9th International Conference on Difference Equations and Applications, University of Southern California, Los Angeles, CA, August 2-6, 2004, Plenary Speaker.
44. SIAM Conference on Applications of Dynamical Systems, Snowbird Utah, May 22-26, 2005.
45. Mathematical Epidemiology Workshop, Banff International Research Station, Alberta, Canada, August 20-25, 2005, Invited Lecturer.
46. AMS-MAA National Meeting, San Antonio, Texas, January 12-15, 2006. Special session.
47. Workshop on Mathematics in Biology and Medicine. Arizona State University. February 3, 2006.
48. 2006 Summer School on Mathematical Modeling of Infectious Diseases. York University and Fields Institute. Toronto, Canada. June 10-20, 2006.
49. SIAM Annual Meeting. Boston, MA. July 10-14, 2006.
50. International Conference on Difference Equations and Applications. Kyoto University, Kyoto, Japan. July 24-28, 2006.
51. AMS Sectional Meeting. Tuscon, Arizona, April 21-22, 2007.
52. Conference on Mathematical Modeling and Analysis of Populations in Biological Systems - In Honor of Jim Cushing. Tucson, Arizona, October 5-7, 2007.
53. Workshop: Integrating Biological Applications in the Mathematics Curriculum, Texas Section Meeting of the MAA, Tarleton State U, April 3, 2008.
54. 2008 Summer School on Mathematical Modeling of Infectious Diseases, University of Alberta, Edmonton, Canada, May 1-11, 2008, Invited Lecturer.
55. WCNA-2008, Orlando, Florida, July 2-9, 2008.
56. 2008 AMS Fall Southeastern Meeting, Huntsville, Alabama, October 24-26, 2008.
57. Differential Equations and Applications in Ecology and Epidemiology - in Honor of 60th Birthday of Horst R. Thieme. Purdue University, December 8-10, 2008.
58. Workshop: Stochastic and deterministic spatial modeling in population dynamics. American Institute of Mathematics, Palo Alto, California, May 4-8, 2009. Invited.
59. 2009 Summer School on The Mathematics of Invasions in Ecology and Epidemiology, Banff Centre, Alberta, Canada, May 10-17, 2009. Invited Lecturer.
60. 24th Annual Shanks Lecture and Conference Vanderbilt University, May 18-21, 2009. Plenary Speaker.
61. 2009 China-Canada Colloquium on Modeling of Infectious Diseases, Xi'an Jiaotong University, Shaanxi, People's Republic of China, September 20-25, 2009. Plenary Speaker.
62. SIAM Conference on Life Sciences, Pittsburg, Penn. July 12-15, 2010.
63. Symposium on Biomathematics and Ecology: Education and Research, Illinois State Univ, September 4-5, 2012. Keynote Speaker.
64. AMS Special Session at JMM in New Orleans, January 6, 2011.
65. NIMBioS Tutorial Stochastic Models with Biological Applications, University of Tennessee, Knoxville, March 16-18, 2011.
66. Banff International Research Station, Banff, Alberta, CA, July 4-8, 2011.
67. MBI-NIMBioS-CAMBAM Summer Graduate Program, Ohio State University, Columbus, OH, August 1, 2011.
68. Mathematical Biology Workshop and IGTC Summit, University of Victoria, Canada, July 14-16, 2011. ICMA III, San Antonio, TX, October 7-9,2011. Plenary Speaker.
69. Workshop: Stochastic Processes in Cell and Population Biology, MBI, Ohio State University, Columbus, OH, October 24-28, 2011.
70. Special Session at Joint Mathematics Meeting, Boston, MA, January 4, 2012.
71. Progress on Difference Equations 2012, Virginia Commonwealth, University, Richmond, VA, May 13-18, 2012, Plenary Speaker.
72. MBI-NIMBioS-CAMBAM Summer Graduate Program, Mathematical Biosciences Institute, Ohio State Univesity, Columbus, Ohio, June 19-20, 2012.
73. Summer School Course Instructor on Mathematics of Infectious Diseases, Mprime Centre for Disease Modelling at York University, May 19-27, 2013.
74. Society of Mathematical Biology Minisymposium, Disease Dynamics in Animal Populations, Arizona State University, June 10-13, 2013.
75. 2013 Atlantic Association of Research in the Mathematical Sciences (AARMS) Summer School Lecturer, Stochastic Modeling with Applications in Biology, Memorial University of Newfoundland, CA, July 15-August 9, 2013.
76. 2013 AARMS Mathematical Biology Workshop, Memorial University, St. John's, Newfoundland, CA, July 27-29, 2013, Plenary Speaker.

Conference and Session Organizer

1. Special session, Mathematical Theory of Networks and Systems--96, St. Louis, Missouri, June 1996.
2. Special session, Mathematics for the Life Sciences, Lubbock, Texas, January, 1997.
3. Scientific Committee, 2002 Annual Meeting of the Society for Mathematical Biology and International Conference on Mathematics and Biology, U. of Tennessee, Knoxville, July, 2002.
4. Special session in honor of T. G. Hallam, 2002 Annual Meeting of the Society for Mathematical Biology and International Conference on Mathematics and Biology, U. of Tennessee, with A. Ackleh, July, 2002.
5. Special session, Joint AMS Central and Western Section Meeting, U. of Colorado, Boulder, CO, with S. R. -J. Jang, October 2-4, 2003.
6. Special session, AMS Central Section Meeting, Texas Tech U., with S.R.-J. Jang and L.-I. Roeger, April 8-10, 2005.
7. Special session, AMS-MAA National Meeting, San Antonio, TX, with S.R.-J. Jang and L.-I. Roeger, January 12-15, 2006.
8. Special session, AMS-MAA Joint Mathematics Meeting, New Orleans, LA, with S. R.-J. Jang and L.-I. Roeger, January 2007.
9. Conference, Over the Fence: Mathematicians and Biologists Talk about Bridging the Curricular Di- vide, Mathematical Biosciences Institute, The Ohio State University, with J. Galovich, S. Deckelman, and E. Marschall, June 1-2, 2007.
10. Special session, AMS-MAA Joint Mathematics Meeting, San Diego, CA, with S.R.-J. Jang and L.-I. Roeger, January 2008.
11. Special session, AMS-MAA Joint Mathematics Meeting, San Francisco, CA, with S.R.-J. Jang and L.-I. Roeger, January 2010.
12. NIMBioS Investigative Workshop: Mathematical Modeling of Wildlife and Viruses Zoonoses, University of Tennessee, Knoxville, with C. Jonsson and P. van den Driessche, November 8-10, 2010.
13. Special Session, Joint Mathematics Meeting, New Orleans, with S. R. -J. Jang and L. -I. Roeger, January 2011.
14. NIMBioS Tutorial on Stochastic Modeling in Biology, University of Tennessee, Knoxville with E. J. Allen and J. Xiong, March 16-18, 2011.
15. Workshop Organizing Committee for Workshop 4: Evolution and Spread of Disease, Mathematical Biosciences Institute, Ohio State University, Columbus,OH with S. Blower, S. Meleard and H. Wearing, March 19-23, 2012
16. Summer School Organizing Committee for 2012 MBI-NIMBioS-CAMBAM Summer Graduate Program on STocahstics Applied to Biological Systems, Mathematical Biosciences Institute, Ohio State University, Columbus, OH with L. Marschall (chair), L Lubatko, S. Lenhart and L. Popovic, June 18-29, 2012.
17. The Fourth International Conference on Mathematical Modeling and Analysis of Populations in Biological Systems (ICMA IV), Texas Tech University, Chair of Organizing Committee with 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" with V. A. Bokil, E. T. Borer, A. G. Power and F. Van Den Bosch, March 17-19, 2014.
19. Special session, AMS Central Section Meeting, Texas Tech U., with V. A. Bokil, April 11-13, 2014.

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