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

Paul Leonard Salceanu, Hal Smith

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)73-103
Number of pages31
JournalJournal of Difference Equations and Applications
Volume16
Issue number1
DOIs
StatePublished - Jan 2010

Fingerprint

Stage-structured
Epidemic Model
Persistence
Discrete-time
SIR Epidemic Model
Global Stability
Extinction

Keywords

  • Global stability
  • Persistence
  • SIR epidemic model
  • Structured populations

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics
  • Analysis

Cite this

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

In: Journal of Difference Equations and Applications, Vol. 16, No. 1, 01.2010, p. 73-103.

Research output: Contribution to journalArticle

@article{7cb728ec48fe4c37ba16f51ecec191ff,
title = "Persistence in a discrete-time, stage-structured epidemic model",
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",
year = "2010",
month = "1",
doi = "10.1080/10236190802400733",
language = "English (US)",
volume = "16",
pages = "73--103",
journal = "Journal of Difference Equations and Applications",
issn = "1023-6198",
publisher = "Taylor and Francis Ltd.",
number = "1",

}

TY - JOUR

T1 - Persistence in a discrete-time, stage-structured epidemic model

AU - Salceanu, Paul Leonard

AU - Smith, Hal

PY - 2010/1

Y1 - 2010/1

N2 - 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.

AB - 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.

KW - Global stability

KW - Persistence

KW - SIR epidemic model

KW - Structured populations

UR - http://www.scopus.com/inward/record.url?scp=77649140784&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77649140784&partnerID=8YFLogxK

U2 - 10.1080/10236190802400733

DO - 10.1080/10236190802400733

M3 - Article

AN - SCOPUS:77649140784

VL - 16

SP - 73

EP - 103

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

SN - 1023-6198

IS - 1

ER -