Dynamical Analysis of a Delayed HIV Virus Dynamic Model with Cell-to-Cell Transmission and Apoptosis of Bystander Cells

被引：3
|
作者：
Zhang, Tongqian [1 ,2 ,3 ]
Wang, Junling [1 ]
Song, Yi [1 ]
Jiang, Zhichao [4 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control, Qingdao 266590, Peoples R China
[3] Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266590, Peoples R China
[4] North China Inst Aerosp Engn, Sch Liberal Arts & Sci, Langfang 065000, Peoples R China
来源：
COMPLEXITY | 2020年 / 2020卷
基金：
中国国家自然科学基金;
关键词：
CTL IMMUNE-RESPONSE; MATHEMATICAL-ANALYSIS; INFECTION MODEL; GLOBAL STABILITY; VIRAL DYNAMICS; SPREAD; TIME; CD4(+); GROWTH;
D O I：
10.1155/2020/2313102
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a delayed viral dynamical model that considers two different transmission methods of the virus and apoptosis of bystander cells is proposed and investigated. The basic reproductive number R-0 of the model is derived. Based on the basic reproductive number, we prove that the disease-free equilibrium E-0 is globally asymptotically stable for R-0<1 by constructing suitable Lyapunov functional. For R-0>1, by regarding the time delay as bifurcation parameter, the existence of local Hopf bifurcation is investigated. The results show that time delay can change the stability of endemic equilibrium and cause periodic oscillations. Finally, we give some numerical simulations to illustrate the theoretical findings.
引用
收藏
页数：12
相关论文
共 50 条
  • [41] SYNTHESIS OF HUMAN-IMMUNODEFICIENCY-VIRUS DNA IN A CELL-TO-CELL TRANSMISSION MODEL
    LI, P
    BURRELL, CJ
    AIDS RESEARCH AND HUMAN RETROVIRUSES, 1992, 8 (02) : 253 - 259
  • [42] GLOBAL ANALYSIS OF WITHIN HOST VIRUS MODELS WITH CELL-TO-CELL VIRAL TRANSMISSION
    Pourbashash, Hossein
    Pilyugin, Sergei S.
    De Leenheer, Patrick
    McCluskey, Connell
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (10): : 3341 - 3357
  • [43] A STOCHASTIC VIRAL MODEL WITH CELL-TO-CELL TRANSMISSION
    El Koufi, Amine
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2022,
  • [44] Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
    Wang, Jinliang
    Guo, Min
    Liu, Xianning
    Zhao, Zhitao
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 291 : 149 - 161
  • [45] On the steps of cell-to-cell HIV transmission between CD4 T cells
    Isabel Puigdomènech
    Marta Massanella
    Cecilia Cabrera
    Bonaventura Clotet
    Julià Blanco
    Retrovirology, 6
  • [46] Global dynamics of a delayed latent virus model with both virus-to-cell and cell-to-cell transmissions and humoral immunity
    Hui Miao
    Rong Liu
    Meiyan Jiao
    Journal of Inequalities and Applications, 2021
  • [47] On the steps of cell-to-cell HIV transmission between CD4 T cells
    Puigdomenech, Isabel
    Massanella, Marta
    Cabrera, Cecilia
    Clotet, Bonaventura
    Blanco, Julia
    RETROVIROLOGY, 2009, 6
  • [48] Global dynamics of a delayed latent virus model with both virus-to-cell and cell-to-cell transmissions and humoral immunity
    Miao, Hui
    Liu, Rong
    Jiao, Meiyan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [49] 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
  • [50] A reaction-diffusion within-host HIV model with cell-to-cell transmission
    Ren, Xinzhi
    Tian, Yanni
    Liu, Lili
    Liu, Xianning
    JOURNAL OF MATHEMATICAL BIOLOGY, 2018, 76 (07) : 1831 - 1872
12345