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Global stability of a SIQS epidemic model with #br# nonlinear incidence rate and time delay

YANG Jun-xian, XU li*   

  1. School of Science, Anhui Agricultural University, Hefei 230036, Anhui, China
  • Received:2013-12-25 Online:2014-05-20 Published:2014-06-04

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Abstract: In this paper, a SIQS epidemic model with nonlinear incidence rate and time delay is proposed and analyzed. We have defined the basic reproductive number R0. By using eigenvalue, function analysis, comparison principle and iterative methods, the dynamic characteristics of model is analyzed. It is proved that the disease free equilibrium point P0 is globally stable if R0<1, it is unstable if R0>1, and the endemic equilibrium point P* is globally stable if R0>1.

Key words: nonlinear incidence rate, reproductive number, equilibrium point, time delay, global stability

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