Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size

Azmy S. Ackleh, Linda J.S. Allen

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

We study an SIR epidemic model with a variable host population size. We prove that if the model parameters satisfy certain inequalities then competition between n pathogens for a single host leads to exclusion of all pathogens except the one with the largest basic reproduction number. It is shown that a knowledge of the basic reproduction numbers is necessary but not sufficient for determining competitive exclusion. Numerical results illustrate that these inequalities are sufficient but not necessary for competitive exclusion to occur. In addition, an example is given which shows that if such inequalities are not satisfied then coexistence may occur.

Original languageEnglish
Pages (from-to)153-168
Number of pages16
JournalJournal of Mathematical Biology
Volume47
Issue number2
DOIs
StatePublished - Aug 2003

Keywords

  • Competitive exclusion
  • SIR epidemic model

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