Books and Book Chapters

  1. Allen, LJS Stochastic Population and Epidemic Models. Persistence and Extinction. Vol 1.3, Mathematical Biosciences Lecture Series, Stochastics in Biological Systems. Springer. 2015.
  2. Allen, LJS An Introduction to Stochastic Processes with Applications to Biology. Prentice Hall. 2003. Second Edition, Chapman Hall/CRC Press, Boca Raton, FL, 2010.
  3. Allen, LJS An Introduction to Mathematical Biology. Prentice Hall. 2007.
  4. 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

  1. Allen, LJS. 1994. Some discrete-time SI, SIR, and SIS epidemic models. Mathematical Biosciences 124: 83-105.
  2. Allen, LJS and A Burgin. 2000. Comparison of deterministic and stochastic SIS and SIR epidemic models in discrete time. Mathematical Biosciences 163:1-33.
  3. 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.
  4. Allen, LJS, RK McCormack, and CB Jonsson. 2006. Mathematical models for hantavirus infection in rodents. Bulletin of Mathematical Biology 68: 511-524.
  5. 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.
  6. Allen, EJ, LJS Allen, A Arciniega, and P Greenwood. 2008. Construction of equivalent stochastic differential equation models. Stochastic Analysis and Applications 26: 274-297.
  7. 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.
  8. Allen, LJS and GE Lahodny Jr. 2012. Extinction thresholds in deterministic and stochastic epidemic models. Journal of Biological Dynamics 6: 590-611.
  9. 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.
  10. 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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