Talk abstract:

Application of Monotone Systems Theory to Epidemiological Models

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

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

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  1998-1999 Mathematics in Biology