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
  • [21] HIV-1 cell-to-cell transmission and broadly neutralizing antibodies
    Dufloo, Jeremy
    Bruel, Timothee
    Schwartz, Olivier
    RETROVIROLOGY, 2018, 15
  • [22] In Vivo HIV-1 Cell-to-Cell Transmission Promotes Multicopy Micro-compartmentalized Infection
    Law, Kenneth M.
    Komarova, Natalia L.
    Yewdall, Alice W.
    Lee, Rebecca K.
    Herrera, Olga L.
    Wodarz, Dominik
    Chen, Benjamin K.
    CELL REPORTS, 2016, 15 (12): : 2771 - 2783
  • [23] Tetherin Restricts Productive HIV-1 Cell-to-Cell Transmission
    Casartelli, Nicoletta
    Sourisseau, Marion
    Feldmann, Jerome
    Guivel-Benhassine, Florence
    Mallet, Adeline
    Marcelin, Anne-Genevieve
    Guatelli, John
    Schwartz, Olivier
    PLOS PATHOGENS, 2010, 6 (06)
  • [24] Mechanisms of HIV-1 cell-to-cell transfer to myeloid cells
    Han, Mingyu
    Woottum, Marie
    Mascarau, Remi
    Vahlas, Zoi
    Verollet, Christel
    Benichou, Serge
    JOURNAL OF LEUKOCYTE BIOLOGY, 2022, 112 (05) : 1261 - 1271
  • [25] HIV-1 cell-to-cell transmission and broadly neutralizing antibodies
    Jérémy Dufloo
    Timothée Bruel
    Olivier Schwartz
    Retrovirology, 15
  • [26] Viral Dynamics of Delayed CTL-inclusive HIV-1 Infection Model With Both Virus-to-cell and Cell-to-cell Transmissions
    Manyombe, M. L. Mann
    Mbang, J.
    Nkamba, L. Nkague
    Onana, D. F. Nkoa
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2020, 15 (01): : 94 - 116
  • [27] Quantitative Comparison of HTLV-1 and HIV-1 Cell-to-Cell Infection with New Replication Dependent Vectors
    Mazurov, Dmitriy
    Ilinskaya, Anna
    Heidecker, Gisela
    Lloyd, Patricia
    Derse, David
    PLOS PATHOGENS, 2010, 6 (02)
  • [28] Modeling cell-to-cell spread of HIV-1 with logistic target cell growth
    Lai, Xiulan
    Zou, Xingfu
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (01) : 563 - 584
  • [29] Quantifying the dynamics of viral recombination during free virus and cell-to-cell transmission in HIV-1 infection
    Kreger, Jesse
    Garcia, Josephine
    Zhang, Hongtao
    Komarova, Natalia L.
    Wodarz, Dominik
    Levy, David N.
    VIRUS EVOLUTION, 2021, 7 (01)
  • [30] DEVELOPMENT OF AN HL-60-BASED MODEL SYSTEM FOR CELL-TO-CELL HIV-1 TRANSMISSION
    BUTERA, ST
    ROBERTS, BD
    FOLKS, TM
    JOURNAL OF CELLULAR BIOCHEMISTRY, 1993, : 43 - 43
12345