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Analysis of a sis epidemic model in a patchy environment

Abderrahman Iggidr 1 Khadija Niri 2 Gauthier Sallet 1 
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 : We consider a general model that describes the spatial propagation of a disease. The space is subdivided in patches (regions, cities, ...). In each patch a SIS model with a general transmission law describes the dynamics of the disease. The complete system takes into account disease transmission, birth, death and travel between patches. We compute the basic reproduction ratio for the complete system and we study the evolution of the disease according to the values of this basic reproduction number. The proofs are based on some properties of strongly monotone systems.
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https://hal.inria.fr/inria-00552197
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Submitted on : Wednesday, January 5, 2011 - 4:28:59 PM
Last modification on : Saturday, June 25, 2022 - 7:40:11 PM

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  • HAL Id : inria-00552197, version 1

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Abderrahman Iggidr, Khadija Niri, Gauthier Sallet. Analysis of a sis epidemic model in a patchy environment. Troisième Conférence Internationale de la SFBT - SFBT2010, Jun 2010, Tunis, Tunisia. ⟨inria-00552197⟩

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