Global Stability Analysis of a Metapopulation SIS Epidemic Model

Author： IGGIDR ABDERRAHMAN   SALLET GAUTHIER   TSANOU BERGE  

Publisher： Routledge Ltd

ISSN： 0889-8480

Source： Mathematical Population Studies, Vol.19, Iss.3, 2012-07, pp. : 115-129

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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.

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