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

Thursday, May 20, 1999 - 11:00am - 12:00pm
Keller 3-180
Wenzhang Huang (University of Alabama)
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.