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A transmission model of bilharzia.A mathematical Analysis of an Heterogeneous Model

We consider an heterogeneous model of transmission of bilharzia. We compute the basic reproduction number R0. We prove that if R0<1 then the disease free equilibrium is globally asymptotically stable. If R0>1 then there exists an unique endemic equilibrium which is globally asymptotically stable. We will then consider possible applications for real data.


Auteur(s) : Riveau Gilles, Sallet Gauthier, Tendeng Léna
Pages : 1-13
Année de publication : 2011
Revue : ARIMA
N° de volume : vol 14
Type : Article
Mise en ligne par : TENDENG Ndèye Léna