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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Official URL: http://aimsciences.org/journals/displayArticles.js...
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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