Persistence in a discrete-time, stage-structured epidemic model

Paul Leonard Salceanu; Hal Smith

doi:10.1080/10236190802400733

Persistence in a discrete-time, stage-structured epidemic model

Paul Leonard Salceanu, Hal Smith

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

17 Scopus citations

Abstract

Discrete-time SI and SIR epidemic models, formulated by Emmert and Allen [J. Differ. Equ. Appl., 10 (2004), pp. 1177-1199] for the spread of a fungal disease in a structured amphibian host population, are analysed. Criteria for persistence of the population as well as for persistence of the disease are established. Global stability results for host extinction and for the disease-free equilibrium are presented.

Original language	English (US)
Pages (from-to)	73-103
Number of pages	31
Journal	Journal of Difference Equations and Applications
Volume	16
Issue number	1
DOIs	https://doi.org/10.1080/10236190802400733
State	Published - Jan 2010

Keywords

Global stability
Persistence
SIR epidemic model
Structured populations

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/10236190802400733

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abstract = "Discrete-time SI and SIR epidemic models, formulated by Emmert and Allen [J. Differ. Equ. Appl., 10 (2004), pp. 1177-1199] for the spread of a fungal disease in a structured amphibian host population, are analysed. Criteria for persistence of the population as well as for persistence of the disease are established. Global stability results for host extinction and for the disease-free equilibrium are presented.",

keywords = "Global stability, Persistence, SIR epidemic model, Structured populations",

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

note = "Funding Information: Financial support was provided by a National Science Foundation Grant, DMS 0414270. We thank Linda Allen for useful comments.",

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KW - Persistence

KW - SIR epidemic model

KW - Structured populations

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Persistence in a discrete-time, stage-structured epidemic model

Abstract

Keywords

ASJC Scopus subject areas

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