Open AccessGlobal stability analysis for SEIS models with n latent classes
Author(s) -
Napoleon Bame,
Samuel Bowong,
Josepha Mbang,
Gauthier Sallet,
Jean Jules Tewa
Publication year - 2008
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2008.5.20
Subject(s) - orthant , stability theory , mathematics , basic reproduction number , stability (learning theory) , mathematical economics , bilinear interpolation , pure mathematics , combinatorics , statistics , demography , nonlinear system , computer science , population , physics , quantum mechanics , machine learning , sociology
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.