The Periodic Solution For A Nonautonomous Age-structured Population Models

The main contents of this paper consist of two parts.First, the existence of periodic solution for a age-structured population models withmigrate term is studied. The averaged net reproductive number is introduced to de-termined the existence of the periodic solution when the mortality rate suffer the time-periodic perturbations about 1. And then the condition of the existence is given.Second, we study the stability of nonconstant equilibrium solution for a autonomouspopulation models, and then the condition of global stability and non-stability for themodels is proved.Otherwise, the basic knowledge we will use in the paper is given, such as characteristicline, contracting mapping theorem and the stability theory and so on.