UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: Friday (10/18/2002) at 2:00pm in 304 Pickard Hall

Speaker: Christopher Kribs Zaleta, Department of Mathematics, The University of Texas at Arlington

"Multiple threshold conditions in structured epidemic models"

Abstract: Qualitative analysis of dynamical systems of various types (ordinary and partial differential equations and integral equations) used to model the spread of epidemics typically hinges on threshold conditions associated with bifurcations. Most simple models exhibit only one threshold condition (bifurcation) which determines whether a disease dies out or reaches an endemic level in the population, but populations with certain kinds of structures may allow a disease to persist under conditions when it would normally not be able to invade. We will consider some examples in order to see the mathematical and biological structures that cause these additional bifurcations.