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  1. Global stability of an age-structure model for TB and its applications to optimal vaccination strategies.

    Article - En anglais

    This article focuses on the study of an age-structure model for the disease transmission dynamics of tuberculosis in populations that are subjected to a vaccination program.

    We first show that the infection-free steady state is globally stable if the basic reproductive number R0 is below one, and that an endemic steady state exists when the reproductive number in the presence of vaccine is above one.

    We then apply the theoretical results to vaccination policies to determine the optimal age or ages at which an individual should be vaccinated.

    It is shown that the optimal strategies can be either one-or two-age strategies.

    Mots-clés Pascal : Tuberculose, Mycobactériose, Bactériose, Infection, Vaccination, Programme sanitaire, Optimisation, Stabilité, Age, Structuration, Modélisation, Contamination, Régime dynamique

    Mots-clés Pascal anglais : Tuberculosis, Mycobacterial infection, Bacteriosis, Infection, Vaccination, Sanitary program, Optimization, Stability, Age, Structuration, Modeling, Contamination, Dynamic conditions

    Logo du centre Notice produite par :
    Inist-CNRS - Institut de l'Information Scientifique et Technique

    Cote : 98-0404931

    Code Inist : 002B05A02. Création : 25/01/1999.