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Global Stability Analysis of a Metapopulation SIS Epidemic Model

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  • ABDERRAHMAN IGGIDR
  • GAUTHIER SALLET
  • BERGE TSANOU

Abstract

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

Suggested Citation

  • Abderrahman Iggidr & Gauthier Sallet & Berge Tsanou, 2012. "Global Stability Analysis of a Metapopulation SIS Epidemic Model," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(3), pages 115-129, July.
  • Handle: RePEc:taf:mpopst:v:19:y:2012:i:3:p:115-129
    DOI: 10.1080/08898480.2012.693844
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    Cited by:

    1. Berge, Tsanou & Bowong, Samuel & Lubuma, Jean M.-S., 2017. "Global stability of a two-patch cholera model with fast and slow transmissions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 133(C), pages 142-164.

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