Dynamics Of AHepatitis B Model With Saturated Incidence

Dynamics of infectious disease is the study of dynamic states of mathematical model to show the development of the disease.It is a powerful tool to analyze the key factors of epidemic in order to provide theoretical and quantitative basis for prevention and control strategies.Recently prevention and control of hepatitis B are serious issues related to human health and people's livelihood.The study of dynamics of hepatitis B virus infection is of great significanceIn this paper,we present a hepatitis B epidemic model with saturated incidence.The dynamicbehaviors of the deterministic and stochastic system are studied.To this end,we firstly establishthe local and global stability conditions of the equilibrium of the deterministic model.Secondly,by constructing suitable stochastic Lyapunov functions,the sufficient conditions for the existence ofergodic stationary distribution as well as extinction of hepatitis B are obtained.