Dynamic Model Of Infectious Diseases In Endemic Threshold

This paper mainly discuss the basic production number of the infectious disease. The main contents are as follows:In chapter 1, we first introduce the two basic disease transmission models: SIR model and SIS model. Then, we intrduce the definition of the basic reproduction number R₀. What's more, we show how to compute the basic reproduction number of autonomous systems.In chapter 2, We study a nonautonomous SIS model with age structure . The life history of all individuals are divided into two classes: immature and mature, and the immature can be infected only. Assuming that the connect and infectious rate is a periodic function, we study the asymptotic behavior of the solution for this model. The threshold be obtained.