Talk abstract:

Traveling Wave Solution and Competitive Exclusion of Multiple Strains in an STD Model

Wenzhang Huang
Department of Mathematical Science
University of Alabama, Huntsville
Huntsville, Alabama 35899-6252
huang@math.uah.edu

A reaction-diffusion model that describe the dynamics of disease transmission for a sexually transmitted disease with two competing strains is introduced. Particular interest is given to the case where the time delay is taken into account. It has been shown that if there is an unstable coexistence endemic steady state, then there is a unique bistable connection of traveling wave solution. This matches well with the principle of competitive exclusion.

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Back to Mathematical Approaches for Emerging and Reemerging Infectious Diseases, May 17-21, 1999

1998-1999 Mathematics in Biology