Threshold dynamics in a time-delayed periodic sis epidemic model

Lou, Lijun and Zhao, Xiao-Qiang (2009) Threshold dynamics in a time-delayed periodic sis epidemic model. Discrete and Continuous Dynamical Systems. Series B , 126 (1). pp. 169-186. ISSN 1553-524X

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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.

Item Type: Article
URI: http://research.library.mun.ca/id/eprint/405
Item ID: 405
Keywords: Basic reproduction ratio; Maturation delay; Periodic epidemic model; Periodic solutions; Uniform persistence
Department(s): Science, Faculty of > Mathematics and Statistics
Date: May 2009
Date Type: Publication

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