Global stability analysis for SEIS models with n latent classes.
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 R(0) < or = 1, then the disease-free equilibrium is globally asymptotically stable on the nonnegative orthant and if R (0) > 1, an endemic equilibrium exists and is globally asymptotically stable on the positive orthant.
Bame
Napoleon
N
Department of Mathematics and Computer Science, University of Dschang, Cameroon.
Bowong
Samuel
S
Mbang
Joseph
J
Sallet
Gauthier
G
Tewa
Jean-Jules
JJ
D000818:Animals; D003198:Computer Simulation; D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D004198:Disease Susceptibility / Q000453:epidemiology*; D006801:Humans; D008954:Models, Biological