Abstract:
An age-structured SEIR epidemic model with age related migration rate is established. The existence of the disease free equilibrium state and the endemic equilibrium state of the model are studied. The stability of the disease free equilibrium state is investigated and the expression of the basic reproduction number is obtained. It is proved that only the disease free equilibrium state exists when the basic reproduction number is less than one,and the equilibrium state is global asymptotically stable. When the basic reproduction number is more than one, it is proved that both the disease free equilibrium state and the endemic equilibrium state exist. The disease free equilibrium state is not stable.
