title: Global stability analysis for SEIS models with n latent classes.
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 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.
authors.affiliation: Department of Mathematics and Computer Science, University of Dschang, Cameroon.
authors.forename: Napoleon
authors.initials: N
authors.lastname: Bame
authors.forename: Samuel
authors.initials: S
authors.lastname: Bowong
authors.forename: Joseph
authors.initials: J
authors.lastname: Mbang
authors.forename: Gauthier
authors.initials: G
authors.lastname: Sallet
authors.forename: Jean-Jules
authors.initials: JJ
authors.lastname: Tewa
mesh_terms: D000818:Animals; D003198:Computer Simulation; D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D004198:Disease Susceptibility / Q000453:epidemiology*; D006801:Humans; D008954:Models, Biological