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Communication Dans Un Congrès Année : 2010

Analysis of a sis epidemic model in a patchy environment

Résumé

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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Dates et versions

inria-00552197 , version 1 (05-01-2011)

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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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