Kinetic Analysis Of A Viral Infection Model With Intercellular Transmission

In recent years,many important achievements about HIV,HCV,HBV and oth-er kinds of virus have been made.And the achievements have played an important role in research of pathogenesis and design of treatment.This paper is concerned with the global dynamics of a PDE viral infection mod-el with cell-to-cell transmission and homogeneous Neumann boundary conditions.The model has three steady state:infection-free steady state,endemic equilibrium steady state,immune activation balance steady state,and basic reproductive num-ber,immune activation regeneration number.At first,we transform the system to a Cauchy problem in order to solve the well-posedness problem.Then prove the asymptotic stability by using Lyapunov function,Green's theorem and LaSalle in-variance principle.For a special case,all the parameters are independent of the space variable,the global asymptotic stability of the positive constant steady states are also analysed.By analysis,we have known this kind of dynamic character of viral infection model with further understanding,and the expression of the basic reproductive number and the immune activation reproductive number are given.We also find the key role that CTL immune response plays in intercellular space diffusion model with cell-to-cell transmission.These conclusions provides an important reference for the future research about HBV virus and its treatment.