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Riveau Gilles ; Sallet Gauthier ; Tendeng Lena - A transmission model of Bilharzia : A mathematical analysis of an heterogeneous model
arima:1954 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, August 24, 2011, Volume 14 - 2011 - Special issue CARI'10 - https://doi.org/10.46298/arima.1954A transmission model of Bilharzia : A mathematical analysis of an heterogeneous model
Authors: Riveau Gilles ; Sallet Gauthier ; Tendeng Lena
We consider an heterogeneous model of transmission of bilharzia. We compute the basic reproduction ratio R 0. We prove that if R 0 < 1, then the disease free equilibrium is globally asymptotically stable. If R 0 > 1 then there exists an unique endemic equilibrium, which is globally asymptotically stable. We will then consider possible applications to real data
Source : oai:HAL:hal-00656181v2
Volume: Volume 14 - 2011 - Special issue CARI'10
Published on: August 24, 2011
Submitted on: January 30, 2011
Keywords: Bilharzia,Metapopulation model,Spatial heterogeneity,Strongly monotone systems,Local and global stability,hétérogénéités spatiales,Bilharziose,modèles de Métapopulations,systèmes fortements monotones,stabilité globale et locale,[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]
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