Persistence in a discrete-time stage-structured fungal disease model

Paul Leonard Salceanu, Hal Smith

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

A discrete-time susceptible and infected (SI) epidemic model, with less than 100% vertical disease transmission, for the spread of a fungal disease in a structured amphibian host population, is analysed. Criteria for persistence of the population as well as the disease are established. Stability results for host extinction and for the disease-free equilibrium are presented. Bifurcation theory is used to establish existence of an endemic equilibrium.

Original languageEnglish (US)
Pages (from-to)271-285
Number of pages15
JournalJournal of biological dynamics
Volume3
Issue number2-3
DOIs
StatePublished - 2009

Keywords

  • Bifurcation
  • Persistence
  • SI epidemic model
  • Structured populations
  • Vertical transmission

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

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