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文章基本信息

  • 标题:Stability analysis of a disease resistance SEIRS model with nonlinear incidence rate
  • 本地全文:下载
  • 作者:Jianwen Jia ; Jing Xiao
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:75
  • DOI:10.1186/s13662-018-1494-1
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study a new SEIRS epidemic model describing nonlinear incidence with a more general form and the transmission of influenza virus with disease resistance. The basic reproductive number ℜ 0 $\Re_($ is obtained by using the method of next generating matrix. If ℜ 0 1 $\Re_(>1$ , by using the geometric method, we obtain some sufficient conditions for global stability of the unique endemic equilibrium. Finally, numerical simulations are provided to support our theoretical results.
  • 关键词:nonlinear incidence ; SEIRS epidemic model ; disease resistance ; geometric approach
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