An introduction to stochastic processes with applications to biology LJS Allen Chapman and Hall/CRC, 2010 | 1065 | 2010 |
Introduction to mathematical biology LJS Allen Pearson/Prentice Hall, 2007 | 620 | 2007 |
Some discrete-time SI, SIR, and SIS epidemic models LJS Allen Mathematical biosciences 124 (1), 83-105, 1994 | 423 | 1994 |
Comparison of deterministic and stochastic SIS and SIR models in discrete time LJS Allen, AM Burgin Mathematical Biosciences 163 (1), 1-33, 2000 | 411 | 2000 |
An introduction to stochastic epidemic models LJS Allen Mathematical epidemiology, 81-130, 2008 | 288 | 2008 |
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model LJS Allen, BM Bolker, Y Lou, AL Nevai Discrete and Continuous Dynamical Systems 21 (1), 1, 2008 | 214 | 2008 |
The basic reproduction number in some discrete-time epidemic models LJS Allen, P Van den Driessche Journal of difference equations and applications 14 (10-11), 1127-1147, 2008 | 173 | 2008 |
Construction of equivalent stochastic differential equation models EJ Allen, LJS Allen, A Arciniega, PE Greenwood Stochastic analysis and applications 26 (2), 274-297, 2008 | 151 | 2008 |
Asymptotic profiles of the steady states for an SIS epidemic patch model LJS Allen, BM Bolker, Y Lou, AL Nevai SIAM Journal on Applied Mathematics 67 (5), 1283-1309, 2007 | 145 | 2007 |
Persistence and extinction in single-species reaction-diffusion models LJS Allen Bulletin of Mathematical Biology 45 (2), 209-227, 1983 | 141 | 1983 |
Open problems and conjectures: SI and SIR epidemic models G Ladas, LJS Allen Journal of Difference Equations and Applications 7 (5), 759-761, 2001 | 136* | 2001 |
A comparison of three different stochastic population models with regard to persistence time LJS Allen, EJ Allen Theoretical Population Biology 64 (4), 439-449, 2003 | 126 | 2003 |
A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis LJS Allen Infectious Disease Modelling 2 (2), 128-142, 2017 | 120 | 2017 |
Extinction thresholds in deterministic and stochastic epidemic models LJS Allen, GE Lahodny Jr Journal of Biological Dynamics 6 (2), 590-611, 2012 | 103 | 2012 |
Persistence, extinction, and critical patch number for island populations LJS Allen Journal of Mathematical Biology 24 (6), 617-625, 1987 | 101 | 1987 |
Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size AS Ackleh, LJS Allen Journal of mathematical biology 47 (2), 153-168, 2003 | 85 | 2003 |
Analysis of climatic and geographic factors affecting the presence of chytridiomycosis in Australia A Drew, EJ Allen, LJS Allen Diseases of Aquatic Organisms 68 (3), 245-250, 2006 | 79 | 2006 |
The dynamics of two viral infections in a single host population with applications to hantavirus LJS Allen, M Langlais, CJ Phillips Mathematical biosciences 186 (2), 191-217, 2003 | 75 | 2003 |
Relations between deterministic and stochastic thresholds for disease extinction in continuous-and discrete-time infectious disease models LJS Allen, P van den Driessche Mathematical biosciences 243 (1), 99-108, 2013 | 71 | 2013 |
A dengue model with a dynamic Aedes albopictus vector population RA Erickson, SM Presley, LJS Allen, KR Long, SB Cox Ecological Modelling 221 (24), 2899-2908, 2010 | 69 | 2010 |