Riveau Gilles ; Sallet Gauthier ; 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 model

Authors: Riveau Gilles 1; Sallet Gauthier 2,3; Tendeng Lena 4

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


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]

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo DOI 10.1007/bf00178324
Source : ScholeXplorer IsRelatedTo HANDLE 1874/409977
Source : ScholeXplorer IsRelatedTo HANDLE 1874/8051
Source : ScholeXplorer IsRelatedTo PMID 2117040
  • 1874/8051
  • 2117040
  • 10.1007/bf00178324
  • 10.1007/bf00178324
  • 1874/409977
On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations

Consultation statistics

This page has been seen 197 times.
This article's PDF has been downloaded 200 times.