Coexistence of pathogens in sexually-transmitted disease models

Jia Li, Zhien Ma, Steve P. Blythe, Carlos Castillo-Chavez

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We present a sexually-transmitted disease (STD) model for two strains of pathogen in a one-sex, heterogeneously-mixing population, where the dynamics are of SIS (susceptible/infected/susceptible) type, and there are two different groups of individuals. We analyze all equilibria for the case where contacts are modeled via proportionate (random) mixing. We find that both strains may under suitable circumstances coexist, and that it is the heterogeneous mixing that creates "refuges" for each strain as each population group favors one particular strain.

Original languageEnglish (US)
Pages (from-to)547-568
Number of pages22
JournalJournal Of Mathematical Biology
Volume47
Issue number6
DOIs
StatePublished - Dec 2003
Externally publishedYes

Keywords

  • Coexistence
  • Competitive exclusion
  • Endemic equilibrium
  • Mathematical modeling
  • Monotone flow
  • Reproductive number
  • Sexually-transmitted Disease

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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