Global Stability Analysis of a Metapopulation SIS Epidemic Model

Abderrahman Iggidr, Gauthier Sallet and Berge Tsanou

Mathematical Population Studies, 2012, vol. 19, issue 3, 115-129

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.

Date: 2012
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DOI: 10.1080/08898480.2012.693844

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