Competitive exclusion in gonorrhea models and other sexually transmitted diseases

Carlos Castillo-Chavez, Wenzhang Huang, Jia Li

Research output: Contribution to journalArticle

88 Scopus citations

Abstract

A heterosexually active population is exposed to two competing strains or two distinct sexually transmitted pathogens. It is assumed that a host cannot be invaded simultaneously by both disease agents and that when symptoms appear, a function of the pathogen or strain virulence, individuals recover. We conclude that in a behaviorally and genetically homogeneous population coexistence is not possible except under very special circumstances. The mathematical qualitative analysis of our model is complete; that is, we provide the global stability analysis of the stationary states. We conclude this manuscript with two extensions. The first allows for the possibility that a host may face multiple competing strains, while the second looks at the effects on coexistence of the host's age of infection when two strains compete for the same host.

Original languageEnglish (US)
Pages (from-to)494-508
Number of pages15
JournalSIAM Journal on Applied Mathematics
Volume56
Issue number2
DOIs
StatePublished - Apr 1996
Externally publishedYes

Keywords

  • Coevolution
  • Coexistence
  • Dynamical systems
  • Sexually transmitted diseases

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint Dive into the research topics of 'Competitive exclusion in gonorrhea models and other sexually transmitted diseases'. Together they form a unique fingerprint.

  • Cite this