A transmission model of Bilharzia : A mathematical analysis of an heterogeneous model

Riveau Gilles; Sallet Gauthier; Tendeng Lena

Journal articles

A transmission model of Bilharzia : A mathematical analysis of an heterogeneous model

Riveau Gilles ¹ Sallet Gauthier ^{2, 3} Tendeng Lena ⁴

1 CIIL - Centre d’Infection et d’Immunité de Lille - INSERM U 1019 - UMR 9017 - UMR 8204

2 MASAIE - Tools and models of nonlinear control theory for epidemiology and immunology

LMAM - Laboratoire de Mathématiques et Applications de Metz, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine

3 LMAM - Laboratoire de Mathématiques et Applications de Metz

4 Inria Nancy - Grand Est

Abstract : 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

Document type :

Journal articles

Domain :

Mathematics [math] / Dynamical Systems [math.DS]

Complete list of metadata

Cited literature [6 references] Display Hide Download

https://hal.inria.fr/hal-00656181
Contributor : Gauthier Sallet <>
Submitted on : Thursday, February 25, 2016 - 1:39:15 PM
Last modification on : Monday, April 26, 2021 - 3:10:02 PM

A transmission model of Bilharzia : A mathematical analysis of an heterogeneous model

File

Identifiers

Collections

Citation

Export

Metrics

598

1499

Contact Legal Notice Personal Data

A transmission model of Bilharzia : A mathematical analysis of an heterogeneous model

File

Identifiers

Collections

Citation

Export

Share

Metrics

598

1499

Contact Legal Notice Personal Data