Global Properties Of Epidemic Model With Nonlinear Incidence Rate

Our research focus in epidemic system’s feature of permanence and stability. It consists of four chapters.Chapter1presents the literature reviews and structure of the paper.Chapter2mainly considers an SEIRS system with generally nonlinear incidence Makes use of differential inequality, Lyapunov function method and gets the global asymp-totic stability of model of disease-free equilibrium and local equilibrium.Chapter3discusses plusing vaccination for SEIRS epidemic model with generally non-linear incidence Using the comparison theorem, the model of the disease-free periodic solution is obtained respectively global attractive, and local equilibrium solution is persistent.Chapter4introduces the continuous vaccination of SEIRS epidemic model with non- linear incidence Using the comparison principle, the global attractivity of the disease-free equilibrium and permanence of local equilibrium have proved.