Dynamic Analysis Of HIV Infection Model With Latent Cells

This paper mainly studied two kinds of HIV-1 dynamic models with latent cells in this paper,and applied the Lyapunov functional and Hurwitz theory for studying the dynamics of the two models.From the results of this paper can get that the stability of the equilibrium point may have some difference when the basic reproduction number of models changes.There are the following three sections in this article.In the first section,the historical background of AIDS research,the significance of the study of HIV dynamics model and the present situation are included.In chapter two,an infection model with Beddington-DeAngelis incidence rate and reversible latent cells is studied,and it concluded the infection-free equilibrium and infected equilibrium and the sufficient conditions which make these two equilibrium globally asymptotically stable,it also did some improvement work on the basis of[16].In chapter three,it investigated an infection model which includes delay numbertwhen the latent cells is reverted to uninfected cells by using the method of differential equation with delays.And it exist these results:When the delay numbertis int?[0,t_n0)and under some conditions,the infected equilibrium point is locally asymptotically stable.The Hopf bifurcation of the infected equilibrium exists in some conditions when the delay number is equal tot_{n 0}.