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
相关论文
共 50 条
  • [1] Multiploid Inheritance of HIV-1 during Cell-to-Cell Infection
    Del Portillo, Armando
    Tripodi, Joseph
    Najfeld, Vesna
    Wodarz, Dominik
    Levy, David N.
    Chen, Benjamin K.
    JOURNAL OF VIROLOGY, 2011, 85 (14) : 7169 - 7176
  • [2] Tetherin restricts direct cell-to-cell infection of HIV-1
    Björn D Kuhl
    Richard D Sloan
    Daniel A Donahue
    Tamara Bar-Magen
    Chen Liang
    Mark A Wainberg
    Retrovirology, 7
  • [3] Tetherin restricts direct cell-to-cell infection of HIV-1
    Kuhl, Bjoern D.
    Sloan, Richard D.
    Donahue, Daniel A.
    Bar-Magen, Tamara
    Liang, Chen
    Wainberg, Mark A.
    RETROVIROLOGY, 2010, 7
  • [4] SUPEROXIDE ENHANCES THE SPREAD OF HIV-1 INFECTION BY CELL-TO-CELL TRANSMISSION
    KAMEOKA, M
    KIMURA, T
    IKUTA, K
    FEBS LETTERS, 1993, 331 (1-2) : 182 - 186
  • [5] BIFURCATION ANALYSIS OF HIV-1 INFECTION MODEL WITH CELL-TO-CELL TRANSMISSION AND IMMUNE RESPONSE DELAY
    Xu, Jinhu
    Zhou, Yicang
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2016, 13 (02) : 343 - 367
  • [6] HIV-1 cell-to-cell infection during acute infection and resistance to neutralizing antibodies
    Chen, Benjamin
    Law, Kenneth
    Li, Hongru
    JAIDS-JOURNAL OF ACQUIRED IMMUNE DEFICIENCY SYNDROMES, 2019, 81 : 49 - 49
  • [7] Mechanisms for Cell-to-Cell Transmission of HIV-1
    Bracq, Lucie
    Xie, Maorong
    Benichou, Serge
    Bouchet, Jerome
    FRONTIERS IN IMMUNOLOGY, 2018, 9
  • [8] A delayed HIV-1 model with cell-to-cell spread and virus waning
    Li, Bing
    Jiao, Feng
    JOURNAL OF BIOLOGICAL DYNAMICS, 2020, 14 (01) : 802 - 825
  • [9] Dynamics of a stochastic cell-to-cell HIV-1 model with distributed delay
    Ji, Chunyan
    Liu, Qun
    Jiang, Daqing
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 1053 - 1065
  • [10] A stochastic spatio-temporal (SST) model to study cell-to-cell variability in HIV-1 infection
    Cheng, Zhang
    Hoffmann, Alexander
    JOURNAL OF THEORETICAL BIOLOGY, 2016, 395 : 87 - 96
12345