Dynamics Of Virus Infection Mediated By Cell-to-cell

In this thesis,we investigate dynamics of two virus infection models with cell-to-cell transmission of viruses and immune response.Considering the fact that uninfected cell can be infected by cell-to-cell transmission and the effect of immune response,we establish two relevant virus infection models.Using method of constructing Lyapunov functional,we show that the model exhibits a threshold dynamics which is fully de-scribed by the basic reproduction number for viral infection and for the CTLs immune response.Finally,the numerical simulation method are also verified the our results.The paper is composed of three chapter.In the first chapter,the background,signification and evolving of virus infection dynamics are briefly reviewed.Furthermore,we briefly introduce the main contribution of this paper.In the second chapter,considering two different types of infection cell-to-cell in-fection and virus invasion infection,we establish a delayed viral infection model with cell-to-cell infection and immune response.By studying the dynamics of the mod-el,some threshold condition that determines the global dynamics of the model are obtained.In the third chapter,considering the difference of infected cells staying different infection stage,we divide the infected cells into early period and advanced period infection cells,a cell-to-cell viral infection model with stage infection structure infection and immune response is established.The basic reproductive number of viral infection R0 and R1 for CTLs immune response is obtained to determine the global dynamics of the model.