Some Work On Stochastic Differential Equation Models In Mathematical Biology

Edward Allen
Mathematics and Statistics, Texas Tech University

(January 24, 2012 10:30 AM - 11:20 AM)

Some Work On Stochastic Differential Equation Models In Mathematical Biology

Abstract

A brief introduction is presented to stochastic differential equations (SDEs) in mathematical biology. In particular, a procedure is described for deriving accurate SDE models for randomly varying biological dynamical systems. Next, several research projects involving SDE models in biology are briefly described. Specifically summarized are: an investigation of a schistosomiasis infection with biological control, a derivation of stochastic partial differential equations for size-and age-structured populations, and the development of SDE models for biological diversity. Finally, current/future work is pointed out.