Riveau Gilles ; Gauthier Sallet ; Tendeng Lena
-
A transmission model of Bilharzia : A mathematical analysis of an heterogeneous model
arima:1954 -
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées,
August 24, 2011,
Volume 14 - 2011 - Special issue CARI'10
-
https://doi.org/10.46298/arima.1954
A transmission model of Bilharzia : A mathematical analysis of an heterogeneous modelArticle
Authors: Riveau Gilles 1; Sallet Gauthier 2,3; Tendeng Lena 4,5
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
Keywords: Local and global stability,Bilharzia,Metapopulation model,Spatial heterogeneity,Strongly monotone systems,stabilité globale et locale,systèmes fortements monotones,Bilharziose,modèles de Métapopulations,hétérogénéités spatiales,[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]