Global stability analysis of a metapopulation SIS epidemic model

نویسندگان

  • Abderrahman Iggidr
  • Gauthier Sallet
  • Berge Tsanou
چکیده

The conjecture of Arino and van den Driessche (2003) that a SIS type model in a moverstayer epidemic model is globally asymptotically stable is confirmed analytically. If the basic reproduction number R0 ≤ 1, then the disease free equilibrium is globally asymptotically stable. If R0 > 1, then there exists a unique endemic equilibrium which is globally asymptotically stable on the nonnegative orthant minus the stable manifold of the disease free equilibrium.

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تاریخ انتشار 2011