PUBLICATIONS

• Allen, E. J. 2009. Derivation of stochastic partial differential equations for size- and age- structured populations. Journal of Biological Dynamics. 3: 73-86.
• 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.
• 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.
• 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.
• 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
• 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.
• 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.
• 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.
• Dogan, E. and E. J. Allen. 2011. Derivation of stochastic partial differential equations for reaction-diffusion processes. Stochastic Analysis and Applications. 29: 424-443.
• Bulut, U. and E. J. Allen. Derivation of SPDE's for correlated random walk transport models in one and two Dimensions. Stochastic Analysis and Applications. In press.
• Dogan, E. and E. J. Allen. Consistent stochastic differential equation models for one-locus and two-loci population genetics. Under review.
• Allen, E. J. Simulation of the multiple stochastic integral I(i,j). Under review.
• Vidurupola S. W. and L. J. S. Allen. Basic stochastic models for viral infection within a host. Under review.
  THESES/REPORTS
  
• Curtis L. Wesley. PhD Dissertation in Mathematics: Discrete-Time and Continuous-Time Epidemic Models with Applications to the Spread of Hantavirus in Wild Rodents and Human Populations. August 2008, Texas Tech.
• Amy Drew Ekanayake. PhD Dissertation in Mathematics: Stochastic metapopulation models and watershed estimates for playas on the Southern High Plains. August 2009, Texas Tech.
• Don Kumudu Mallawa Arachchi. PhD Dissertation in Mathematics: 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 hydroperiod of playas on the Southern High Plains. December 2009, Texas Tech.
• John Fenske. 2010. Undergraduate Report: Stochastic model for playa hydroperiod on the Southern High Plains. Undergraduate Report, Texas Tech University, Lubbock, TX.
• Sukhitha Vidurupola. MS in Mathematics: Deterministic and Stochastic Models for the Dynamics of Early Viral Infection Within a Host. December 2010, Texas Tech.
• Elife Dogan, PhD Dissertation in Mathematics: Investigation of Stochastic Reaction-Diffusion Partial Differential Equations and Derivation of Consistent Stochastic Differential Equation Models for One-Locus and Two-Loci Population Genetics. August 2011, Texas Tech.
• Chelsea Lewis. MS Thesis in Mathematics: Mathematical Models with Antibody and Cytotoxic T Lymphocyte Responses due to Hantavirus Infections in Rodents and Humans. August 2011, Texas Tech.
  MANUSCRIPTS
  
• Belden, J., S. McMurry, L. Smith, and P. Reilley. Fungicides are an emerging threat to amphibian populations.
• Allen, L. J. S. and G. Lahodny. Extinction thresholds in deterministic and stochastic epidemic models.
• Allen, L. J. S. and V. A. Bokil. Stochastic models for competing species with a shared pathogen.
  

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