Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality

Azmy S. Ackleh, Linda J.S. Allen

Research output: Contribution to journalArticle

25 Scopus citations

Abstract

We study SIR and SIS epidemic models with multiple pathogen strains. In our models we assume total cross immunity, standard incidence, and density-dependent host mortality. We derive conditions on the models parameters which guarantee competitive exclusion between the n strains. An example is given to show that if these conditions are not satisfied then coexistence between the strains is possible. Furthermore, numerical results are presented to indicate that our conditions on the parameters are sufficient but not necessary for competitive exclusion.

Original languageEnglish
Pages (from-to)175-188
Number of pages14
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume5
Issue number2
DOIs
StatePublished - May 2005

Keywords

  • Competitive exclusion
  • Cross immunity
  • Epidemic models

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