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Global stability analysis of a metapopulation SIS epidemic model

Abderrahman Iggidr 1, 2, * Gauthier Sallet 1, 2 Berge Tsanou 1, 3 
* Corresponding author
1 MASAIE - Tools and models of nonlinear control theory for epidemiology and immunology
LMAM - Laboratoire de Mathématiques et Applications de Metz, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
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 R0 ≤ 1, then the disease free equilibrium is globally asymptotically sta- ble. 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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Submitted on : Monday, December 5, 2011 - 12:28:42 AM
Last modification on : Saturday, June 25, 2022 - 7:40:26 PM
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  • HAL Id : hal-00648041, version 1



Abderrahman Iggidr, Gauthier Sallet, Berge Tsanou. Global stability analysis of a metapopulation SIS epidemic model. Mathematical Population Studies, 2012, 19 (3), pp.115-129. ⟨hal-00648041⟩



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