Dispersal, disease and life-history evolution

Carlos Castillo-Chavez, Abdul Aziz Yakubu

Research output: Contribution to journalArticle

75 Scopus citations

Abstract

Discrete-time susceptible-infective-susceptible (S-I-S) disease transmission models can exhibit bistability (alternative stable equilibria) over a wide range of parameter values. We illustrate the richness generated by such 'simple' non-linear systems in the study of two patch epidemic models with disease-enhanced or disease-suppressed dispersal. Dispersal between patches can have a profound impact on local patch disease dynamics. In fact, dispersal between patches may give rise to bistability in parameter regimes without bistability in single patch models.

Original languageEnglish (US)
Pages (from-to)35-53
Number of pages19
JournalMathematical Biosciences
Volume173
Issue number1
DOIs
StatePublished - Jan 1 2001
Externally publishedYes

Keywords

  • Bistability
  • Dispersal
  • Geometric growth
  • Metapopulation
  • Patches

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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