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  • 标题:Global Dynamic Behavior of a Multigroup Cholera Model with Indirect Transmission
  • 本地全文:下载
  • 作者:Ming-Tao Li ; Gui-Quan Sun ; Juan Zhang
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2013
  • 卷号:2013
  • 页码:1-11
  • DOI:10.1155/2013/703826
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    For a multigroup cholera model with indirect transmission, the infection for a susceptible person is almost invariably transmitted by drinking contaminated water in which pathogens, V. cholerae , are present. The basic reproduction number ℛ 0 is identified and global dynamics are completely determined by ℛ 0 . It shows that ℛ 0 is a globally threshold parameter in the sense that if it is less than one, the disease-free equilibrium is globally asymptotically stable; whereas if it is larger than one, there is a unique endemic equilibrium which is global asymptotically stable. For the proof of global stability with the disease-free equilibrium, we use the comparison principle; and for the endemic equilibrium we use the classical method of Lyapunov function and the graph-theoretic approach.

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