The Impact of Nonlinear Stochastic Perturbation on Dynamical Behavior of an HIV Infection System

In this paper,the authors develop and study an HIV infection system with two distinct cell subsets and nonlinear stochastic perturbation.Firstly,the authors obtain that the solution of the system is positive and global.Secondly,for the corresponding linear case,the authors derive a critical condition R0S similar to deterministic system.When R0S>1,the authors establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution to the stochastic system,respectively.Finally,the authors give sufficient criterions for extinction of the diseases.The proposed work provides a new method in overcoming difficulty conduced by nonlinear stochastic perturbation.