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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.
|Keywords:||Basic reproduction ratio; Maturation delay; Periodic epidemic model; Periodic solutions; Uniform persistence|
|Department(s):||Science, Faculty of > Mathematics and Statistics|
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