Asymptotic behaviors of a cell-to-cell HIV-1 infection model perturbed by white noise.

In this paper, we analyze a mathematical model of cell-to-cell HIV-1 infection to C D 4 + T cells perturbed by stochastic perturbations. First of all, we investigate that there exists a unique global positive solution of the system for any positive initial value. Then by using Lyapunov analysis methods, we study the asymptotic property of this solution. Moreover, we discuss whether there is a stationary distribution for this system and if it owns the ergodic property. Numerical simulations are presented to illustrate the theoretical results. [ABSTRACT FROM AUTHOR]