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

页码：407 / 418

页数：12

共 50 条

[31] HIV-1 trans-Infection Mediated by DCs: The Tip of the Iceberg of Cell-to-Cell Viral Transmission
Perez-Zsolt, Daniel
Raich-Regue, Dalia
Munoz-Basagoiti, Jordana
Aguilar-Gurrieri, Carmen
Clotet, Bonaventura
Blanco, Julia
Izquierdo-Useros, Nuria
PATHOGENS, 2022, 11 (01):
[32] Cell-to-cell HIV-1 spread and its implications for immune evasion
Martin, Nicola
Sattentau, Quentin
CURRENT OPINION IN HIV AND AIDS, 2009, 4 (02) : 143 - 149
[33] Protease inhibitors are effective at inhibiting cell-to-cell HIV-1 transfer
Titanji, B. K.
Aasa-Chapman, M.
Jolly, C.
Pillay, D.
ANTIVIRAL THERAPY, 2013, 18 : A68 - A68
[34] Mechanisms of HIV-1 cell-to-cell transmission and the establishment of the latent reservoir
Pedro, Kyle D.
Henderson, Andrew J. A.
Agosto, Luis M.
VIRUS RESEARCH, 2019, 265 : 115 - 121
[35] An HIV latent infection model with cell-to-cell transmission and stochastic perturbation
Wang, Yan
Qi, Kai
Jiang, Daqing
CHAOS SOLITONS & FRACTALS, 2021, 151 (151)
[36] HIV-1 packs in PACSIN2 for cell-to-cell spread
Van Duyne, Rachel
Freed, Eric O.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2018, 115 (27) : 6885 - 6887
[37] Modification and optimization of the inhibition of HIV-1 cell-to-cell transmission assay
Alexandre, Kabamba
Malatji, Kanyane
Mulaudzi, Takalani
METHODSX, 2020, 7
[38] B-CELL ACTIVATION DURING HIV-1 INFECTION .2. CELL-TO-CELL INTERACTIONS AND CYTOKINE REQUIREMENT
AMADORI, A
ZAMARCHI, R
VERONESE, ML
PANOZZO, M
BARELLI, A
BORRI, A
SIRONI, M
COLOTTA, F
MANTOVANI, A
CHIECOBIANCHI, L
JOURNAL OF IMMUNOLOGY, 1991, 146 (01): : 57 - 62
[39] INFECTION OF HUMAN FETAL ASTROCYTES WITH HIV-1 - VIRAL TROPISM AND THE ROLE OF CELL-TO-CELL CONTACT IN VIRAL TRANSMISSION
NATH, A
HARTLOPER, V
FURER, M
FOWKE, KR
JOURNAL OF NEUROPATHOLOGY AND EXPERIMENTAL NEUROLOGY, 1995, 54 (03): : 320 - 330
[40] Synergistic inhibition of cell-to-cell HIV-1 infection by combinations of single chain variable fragments and fusion inhibitors
Alam, Mohammad Mamun
Kuwata, Takeo
Tanaka, Kazuki
Alam, Muntasir
Takahama, Shokichi
Shimura, Kazuya
Matsuoka, Masao
Fukuda, Natsuki
Morioka, Hiroshi
Tamamura, Hirokazu
Matsushita, Shuzo
BIOCHEMISTRY AND BIOPHYSICS REPORTS, 2019, 20

← 1 2 3 4 5 →