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Stability of a Vector-Borne Disease Model with a Delayed Nonlinear Incidence,
Auteur(s): TRAORE Ali
Auteur(s) tagués: TRAORE Ali
Renseignée par : TRAORE Ali
Résumé

A vector-borne disease model with spatial diffusion with time delays and a general incidence function is studied. We derived conditions under which the system exhibits threshold behavior. The stability of the disease-free equilibrium and the endemic equilibrium are analyzed by using the linearization method and constructing appropriate Lyapunov functionals. It is shown that the given conditions are satisfied by at least two common forms of the incidence function.

Mots-clés

Vector-borne disease · Diffusion · Stability · Lyapunov function · Nonlinear incidence

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