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

Paul Leonard Salceanu; Hal Smith

doi:10.1080/17513750802379028

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

Paul Leonard Salceanu, Hal Smith

Research output: Contribution to journal › Article › peer-review

8 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 language	English (US)
Pages (from-to)	271-285
Number of pages	15
Journal	Journal of biological dynamics
Volume	3
Issue number	2-3
DOIs	https://doi.org/10.1080/17513750802379028
State	Published - 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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10.1080/17513750802379028

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title = "Persistence in a discrete-time stage-structured fungal disease model",

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.",

keywords = "Bifurcation, Persistence, SI epidemic model, Structured populations, Vertical transmission",

author = "Salceanu, {Paul Leonard} and Hal Smith",

note = "Funding Information: Financial support was provided by a National Science Foundation Grant, DMS 0414270. The authors would like to acknowledge the useful comments of the reviewers.",

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AU - Smith, Hal

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PY - 2009

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AB - 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.

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KW - SI epidemic model

KW - Structured populations

KW - Vertical transmission

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

Abstract

Keywords

ASJC Scopus subject areas

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