Threshold dynamics in a time-delayed periodic sis epidemic model

Yijun Lou; Xlao Qlang Zhao

doi:10.3934/dcdsb.2009.12.169

Threshold dynamics in a time-delayed periodic sis epidemic model

Yijun Lou
, Xlao Qlang Zhao

Research output: Journal article publication › Journal article › Academic research › peer-review

47 Citations (Scopus)

Abstract

The global dynamics of a periodic SIS epidemic model with maturation delay is investigated. We first obtain sufficient conditions for the single population growth equation to admit a globally attractive positive periodic solution. Then we introduce the basic reproduction ratio R0) for the epidemic model, and show that the disease dies out when R0 < 1, and the disease remains endemic when R0 > 1. Numerical simulations are also provided to confirm our analytic results.

Original language	English
Pages (from-to)	169-186
Number of pages	18
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	12
Issue number	1
DOIs	https://doi.org/10.3934/dcdsb.2009.12.169
Publication status	Published - 1 Jul 2009
Externally published	Yes

Keywords

Basic reproduction ratio
Maturation delay
Periodic epidemic model
Periodic solutions
Uniform persistence

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdsb.2009.12.169

Cite this

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AB - The global dynamics of a periodic SIS epidemic model with maturation delay is investigated. We first obtain sufficient conditions for the single population growth equation to admit a globally attractive positive periodic solution. Then we introduce the basic reproduction ratio R0) for the epidemic model, and show that the disease dies out when R0 < 1, and the disease remains endemic when R0 > 1. Numerical simulations are also provided to confirm our analytic results.

KW - Basic reproduction ratio

KW - Maturation delay

KW - Periodic epidemic model

KW - Periodic solutions

KW - Uniform persistence

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Threshold dynamics in a time-delayed periodic sis epidemic model

Abstract

Keywords

ASJC Scopus subject areas

More information

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