Global stability analysis for SEIS models with n latent classes | Zendy

Napoleon Bame | Zendy; Samuel Bowong | Zendy; Josepha Mbang | Zendy; Gauthier Sallet | Zendy; Jean Jules Tewa | Zendy

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Global 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.

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