Threshold Dynamics in a Time-delayed Periodic Sis Epidemic Model

نویسندگان

  • Yijun Lou
  • Xiao-Qiang Zhao
  • Gail Wolkowicz
  • YIJUN LOU
  • XIAO-QIANG ZHAO
چکیده

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.

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تاریخ انتشار 2009