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

Paul Leonard Salceanu, Hal Smith

Research output: Contribution to journalArticle

6 Citations (Scopus)

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
StatePublished - Mar 2009

Fingerprint

fungal disease
disease models
persistence
disease transmission
bifurcation
amphibian
amphibians
extinction

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

Persistence in a discrete-time stage-structured fungal disease model. / Salceanu, Paul Leonard; Smith, Hal.

In: Journal of Biological Dynamics, Vol. 3, No. 2-3, 03.2009, p. 271-285.

Research output: Contribution to journalArticle

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