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

被引：10
作者：
Liu, Qun [1 ]
机构：
[1] Yulin Normal Univ, Guangxi Univ Key Lab Complex Syst Optimizat & Big, Sch Math & Stat, Yulin 537000, Guangxi, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 467卷
关键词：
Stochastic HIV-1-cell-to-cell model; Asymptotic stability; Stationary distribution; Ergodicity; HUMAN-IMMUNODEFICIENCY-VIRUS; MATHEMATICAL-ANALYSIS; TIME-DELAY; DYNAMICS; KINETICS; SPREAD; LYMPHOCYTES; DIFFUSION; TURNOVER; THERAPY;
D O I：
10.1016/j.physa.2016.09.061
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we analyze a mathematical model of cell-to-cell HIV-1 infection to CD4(+) 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. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：407 / 418
页数：12
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