SELECTED PUBLICATIONS
Books and Book Chapters
- Allen, LJS Stochastic Population and Epidemic Models. Persistence and Extinction. Vol 1.3,
Mathematical Biosciences Lecture Series, Stochastics in Biological Systems. Springer. 2015.
- Allen, LJS An Introduction to Stochastic Processes with Applications to
Biology. Prentice Hall.
2003. Second Edition, Chapman Hall/CRC Press, Boca Raton, FL, 2010.
- Allen, LJS An Introduction to Mathematical Biology.
Prentice Hall. 2007.
- Allen, LJS. 2008. Chapter 3: An Introduction to Stochastic Epidemic Models. In: Mathematical Epidemiology, Lecture Notes in Mathematics
Vol. 1945, pp. 81-130, F Brauer, P van den Driessche, and J Wu (Eds.), Springer.
Selected Journal Articles
- Allen, LJS. 1994. Some discrete-time SI, SIR, and SIS epidemic models. Mathematical Biosciences 124: 83-105.
- Allen, LJS and A Burgin. 2000. Comparison of deterministic and stochastic SIS and SIR epidemic models in discrete time. Mathematical Biosciences 163:1-33.
- 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.
- Allen, LJS, RK McCormack, and CB Jonsson. 2006. Mathematical models for hantavirus infection in rodents. Bulletin of Mathematical Biology 68: 511-524.
- 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: 12383-1309.
- Allen, EJ, LJS Allen, A Arciniega, and P Greenwood. 2008. Construction of equivalent stochastic differential equation models. Stochastic Analysis and Applications 26: 274-297.
- Allen, LJS, P van den Driessche. 2008. The basic reproduction number in some discrete-time epidemic models. Journal of Difference Equations and Applications 14: 1127-1147.
- Allen, LJS and GE Lahodny Jr. 2012. Extinction thresholds in deterministic and stochastic epidemic models. Journal of Biological Dynamics 6: 590-611.
- 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.
- Allen LJS. 2017. A primer on stochastic epidemic models: formulation, numerical simulation, and analysis. Infectious Disease Modelling 2: 128-142.
Curriculum Vita Current VITA
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