Global Behavior Analysis Of Epidemic Model With Age - Like Structure

Dynamics of infectious diseases is one of the most important theoretical methods in studying infectious disease models. The age-structured epidemic model and it’s global properties is an important subject in dynamic system’s research. This thesis mainly utilize the framework of global Lyapunov functionals constructed to obtain stability of infectious diseases models with age-structure. This research is important and practical meaningful to estimate the development trend of infectious diseases.In this paper, two classes of infectious disease models with age-structure will be discussed: one is HIV viral infection model. The global stability of equilibria is determined by a sharp threshold parameter, called basic reproduction number.The other is epidemic model. We focus on how to construct a suitable Lyapunov function to solve the problem of global stability of equilibria.On the other hand, one framework of Lyapunov functional method to solve the problem of the stability of the age-structured model, providing a series of simple and e?ective determined theorems, can play a important role in preventing and control of disease spread, which may provide decision-making basis and theoretical reference.