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Global Stability of Discrete SIR Epidemic Model with A General Incidence Rate and Delay

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【作者】 胡素娟孙福芹

【Author】 HU Su-juan SUN Fu-qin(School of Science,Tianjin University of Technology and Education,Tianjin,300222,China)

【机构】 School of Science,Tianjin University of Technology and Education,Tianjin,300222,China

【摘要】 This paper we study a general discrete SIR epidemic model which is derived from SIR model with distributed delay and general nonlinear incidence by using a variation of the backward Euler method.Applying a Lyapunov functional technique,it is shown that the global dynamics of each discrete SIR model is fully determined by a single threshold parameter.

【基金】 supported by the Technology Development Foundation of Higher Education of Tianjin(20081003)
【所属期刊栏目】 本刊重稿 (2012年01期)
  • 【分类号】R195
  • 【下载频次】33
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