Disease emergence in multi-host epidemic models

Robert K. McCormack, Linda J.S. Allen

Research output: Contribution to journalArticle

25 Scopus citations

Abstract

Most pathogens are capable of infecting multiple hosts. These multiple hosts provide many avenues for the disease to emerge. In this investigation, we formulate and analyse multi-host epidemic models and determine conditions under which the disease can emerge. In particular, SIS and SIR epidemic models are formulated for a pathogen that can infect n different hosts. The basic reproduction number is computed and shown to increase with n, the number of hosts that can be infected. Therefore, the possibility of disease emergence increases with the number of hosts infected. The SIS model for two hosts is studied in detail. Necessary and sufficient conditions are derived for the global stability of an endemic equilibrium. Numerical examples illustrate the dynamics of the two- and three-host epidemic models. The models have applications to hantavirus in rodents and other zoonotic diseases with multiple hosts.

Original languageEnglish
Pages (from-to)17-34
Number of pages18
JournalMathematical Medicine and Biology
Volume24
Issue number1
DOIs
StatePublished - Mar 2007

Keywords

  • Basic reproduction number
  • Hantavirus
  • Multi-host epidemic model

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