ARTICLE
Stability analysis for a class of discrete schistosomiasis models with general incidence
- Advances in Differences Equations , 2017
Lien de l'article :
https://doi.org/10.1186/s13662-017-1174-6
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Aboudramane Guiro, Diéne Ngom, Dramane Ouedraogo
Auteur(s) tagués :
GUIRO Aboudramane
Renseignée par : GUIRO Aboudramane
Résumé
In this paper, we propose to study a class of discrete schistosomiasis models with general incidence function. This model is derived from a continuous schistosomiasis model (in Appl. Math. 4:1682-1693, 2003) by using the backward Euler discretization method with step size $h=1$ . We visit some basic properties of this discrete model and we study the stabilities of the equilibria by constructing some appropriate Lyapunov functional for the endemic equilibrium.
Mots-clés
schistosomiasis, discrete epidemic model, backward Euler discretization, equilibrium stability, endemic equilibrium, Lyapunov functional, backward bifurcation