Application of Monotone Systems Theory to Epidemiological Models

Friday, May 14, 1999 - 1:30pm - 2:20pm
Keller 3-180
Wenzhang Huang (University of Alabama)
A two sex, susceptible-infective-susceptible (SIS), sexually-transmitted-disease (STD) model with two competing strains, where the females are divided into two different groups based on their susceptibility to two distinct pathogenic strains, is studied. The model appears to generate a monotone system, and thus it enables us to apply the theories for monotone systems to give a rather complete analysis for the global dynamical structure of the disease transmission. In particular, clear characterizations of competitive exclusion and coexistence are obtained