Dynamics Behavior Of Two Classes Of Stochastic HTLV-? Virus Infection Models

In the paper,we mainly consider two classes of stochastic HTLV-? virus infection model with regime switching or nonlinear CTL immune response,respectively.By applying Ito's formula?Khasminskii theorem and stochastic Lyapunov functional methods,the important dynamics behavior of stochastic HTLV-? virus infection model are achieved.The main content of this thesis are as follows.In the first Chapter,we briefly introduced the historical background,research trends and some basic knowledge related to this article.The works of this dissertation is also listed in this chapter.In the second Chapter,we study the global existence of positive solution of stochastic HTLV-? virus infection model with Markov switching.In addition,we obtain the sufficient conditions for existence of stationary distribution and extinction of the virus,respectively.The sufficient conditions obtained by basic reproductive number of deterministic model possess good practical significance.Finally,the correctness of results are proved by numerical simulations.In the third Chapter,we discuss the stochastic HTLV-? virus infection model with nonlinear CTL immune response.Firstly,we present the criterions of model of stochastically ultimately bounded and stochastically permanent.Secondly,by simplifying the existing literature on the conditions for permanent existence of virus obtained the important parameter of threshold for persistence or extinction of virus.Thirdly,through constructing new Lyapunov function,we get the criterion of existence of stationary distribution,and the criterion improve the result of existing literature.Finally,the validity of theorem results illustrate by numerical simulation.