Texas Tech University
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MAA PREP 2009

Mathematical Modeling in Population Biology & Epidemiology

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July 10-12, 2009

Texas Tech University, Lubbock, TX 79409

Organizers & Speakers: Sophia Jang, Linda Allen, Lih-Ing Roeger, Edward Allen and Richard Strauss

Mathematical models in population biology and epidemiology are becoming increasingly important and useful in addressing current problems in pipulation biology and epidemiology, such as species invasions, emerging diseases, or drug resistance. In this MAA PREP workshop, we will introduce some mathematical and computational techniques useful in the study of these current problems.

Some mathematical and computational techniques for difference equations, differential equations, and stochastic models will be introduced and applied to biological problems. For example, begining from the Susceptible-Infective-Recovered (SIR) model for disease spread, we will formulate a model for development of drug during resistance based on treatment strategies, and explore the impact drug resistance has on subsequent intervention programs. In addition, models for competition and prediction will be formularted to investigate whether an introduced species is also able to invade an established community and methods for control of an invasive species. We will discuss how to formulate stochastic models of competition, predation and epidemics that include variability in birth, death and transmission processes and explore the models' dynamics through computer simulations.

Participants will have hands-on experience with computer technology, Maple, MatLab and XPPAUT. Some preparatory excercises will be available for registered participants.

To register for this workshop, please visit the web site www.maa.org/PREP.