Analysis Of Epidemic Models For Hepatitis C Virus Transmis Sions

Infection with Hepatitis C virus (HCV) is a major global public health problem. According to the World Health Organization statistics,3-4million people are infected every year and the number of people currently infected with HCV worldwide is approximately170million.In this paper, we study the dynamics of Hepatitis C virus transmissions models.The preface is in chapter1, we introduce the research background of this article, the main task and some important preliminaries.In Chapter2, we presents a Hepatitis C virus transmissions model with bilinear incidence rate, and then we analysis the stability of boundary equilibrium and positive equilibrium by Lyapunov functional. Also, we investigate the sensitivity of Rc when the treatment parameters (?) changes.In Chapter3, we study the dynamics of Hepatitis C virus transmissions model with time delay. We analysis the stability of the disease-free equilibrium and endemic equilibrium by using the Routh-Hurwitz criterion, Liapunov functional method and so on. Then, we show the existence of Hopf bifurcations occurring、the stability and direction of bifurcation at endemic equilibrium.