Global stability analysis for SEIS models with n latent classes
-
1.
Department of Mathematics and Computer Science, University of Dschang
-
2.
Department of Mathematics, University of Douala
-
3.
University of Yaoundé I
-
4.
Laboratoire de Mathématiques et Applications, UMR CNRS 7122, University of Metz and INRIA Lorraine, Metz
-
Received:
01 October 2006
Accepted:
29 June 2018
Published:
01 January 2008
-
-
MSC :
34D23, 34A34, 92D30.
-
-
We compute the basic reproduction ratio of a SEIS model with
n classes of latent individuals and bilinear incidence.The system exhibits the
traditional behaviour. We prove that if R0 ≤1, then the disease-free equilibrium
is globally asymptotically stable on the nonnegative orthant and if
R0 > 1, an endemic equilibrium exists and is globally asymptotically stable
on the positive orthant.
Citation: Napoleon Bame, Samuel Bowong, Josepha Mbang, Gauthier Sallet, Jean-Jules Tewa. Global stability analysis for SEIS models with n latent classes[J]. Mathematical Biosciences and Engineering, 2008, 5(1): 20-33. doi: 10.3934/mbe.2008.5.20
-
Abstract
We compute the basic reproduction ratio of a SEIS model with
n classes of latent individuals and bilinear incidence.The system exhibits the
traditional behaviour. We prove that if R0 ≤1, then the disease-free equilibrium
is globally asymptotically stable on the nonnegative orthant and if
R0 > 1, an endemic equilibrium exists and is globally asymptotically stable
on the positive orthant.
-
-
-
-