Periodicity in diffusive age-structured SEIR models

Abstract

ABSTRACT. We consider a diffusive variant of the basic age-structured SEIR epidemic model with time dependent source terms. The source term for susceptibles appears as a forcing term and the source term for the infectives appears as a boundary condition at the age boundary a -0. We produce the a priori estimates requisite for guaranteeing the existence of time periodic solutions in response to time periodicity in the forcing functions. Properties of the periodic solutions are also investigated.