Mesure invariante d'une equation integrale stochastique a coefficients periodiques et applications a un modele d'epidemiologie

Abstract

We consider a stochastic integral equation, whose coe cients are periodic in time. Under a suitable condition we prove the existence of an invariant mesure for this stochastic equation. This invariant mesure is constructed on a Banach space of continuous functions. We study also its application to an epidemiologic model of malaria, which concerns the infected population and the vector population.