Détails Publication
Stability analysis of a schistosomiasis model with delays,
Lien de l'article: http://www.advancesindifferenceequations.com/content/2013/1/303
Auteur(s): Aboudramane Guiro, Stanislas Ouaro, Ali Traoré
Auteur(s) tagués:
TRAORE Ali
Renseignée par : TRAORE Ali
Résumé
In this work, a nonlinear deterministic model for schistosomiasis transmission including delays with two general incidence functions is considered. A rigorous mathematical analysis is done. We show that the stability of the disease-free equilibrium and the existence of an endemic equilibrium for the model are stated in terms of key threshold parameters known as basic reproduction number R0. This study of the dynamic of the model is globally asymptotically stable if R0 ≤ 1, and the unique endemic equilibrium is globally asymptotically stable when R0 1. Some numerical simulations are provided to support the theoretical result with respect to R0 in this paper.
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