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文章基本信息

  • 标题:Analysis of an SIRS epidemic model with time delay on heterogeneous network
  • 本地全文:下载
  • 作者:Qiming Liu ; Meici Sun ; Tao Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:309
  • DOI:10.1186/s13662-017-1367-z
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We discuss a novel epidemic SIRS model with time delay on a scale-free network in this paper. We give an equation of the basic reproductive number R 0 $R_($ for the model and prove that the disease-free equilibrium is globally attractive and that the disease dies out when R 0 1 $R_(>1$ . In addition, by using a suitable Lyapunov function, we establish a set of sufficient conditions on the global attractiveness of the endemic equilibrium of the system.
  • 关键词:epidemic spreading ; scale-free network ; basic reproductive number ; global attractiveness ; time delay
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