Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response

被引：17
|
作者：
Song X. [1 ,2 ]
Wang S. [1 ]
Zhou X. [1 ]
机构：
[1] College of Mathematics and Information Science, Xinyang Normal University, Xinyang
[2] College of Mathematics and Information Science, Henan University, Kaifeng
来源：
Journal of Applied Mathematics and Computing | 2010年 / 33卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Center manifold; Hopf bifurcation; Time delay; Viral infection;
D O I：
10.1007/s12190-009-0285-y
中图分类号：
学科分类号：
摘要：
In this paper, a class of more general viral infection model with delayed non-lytic immune response is proposed based on some important biological meanings. The sufficient criteria for local and global asymptotic stabilities of the viral free equilibrium are given. And the stability and Hopf bifurcation of the infected equilibrium have been studied. Numerical simulations are carried out to explain the mathematical conclusions, and the effects of the birth rate of susceptible T cells and the efficacy of the non-lytic component on the stabilities of the positive equilibrium Ē are also studied by numerical simulations. © 2009 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：251 / 265
页数：14
相关论文
共 50 条
  • [41] GLOBAL STABILITY OF A DELAYED VIRAL INFECTION MODEL WITH NONLINEAR IMMUNE RESPONSE AND GENERAL INCIDENCE RATE
    Ji, Yu
    Liu, Lan
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (01): : 133 - 149
  • [42] Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model
    Zhang, Zizhen
    Yang, Huizhong
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [43] Stability and Hopf bifurcation in a delayed competitive web sites model
    Xiao, M
    Cao, JD
    PHYSICS LETTERS A, 2006, 353 (2-3) : 138 - 150
  • [44] Stability and Hopf bifurcation in a delayed model for HIV infection of CD4+ T cells
    Cai, Liming
    Li, Xuezhi
    CHAOS SOLITONS & FRACTALS, 2009, 42 (01) : 1 - 11
  • [45] Analysis of stability and Hopf bifurcation for a viral infectious model with delay
    Sun, Chengjun
    Cao, Zhijie
    Lin, Yiping
    CHAOS SOLITONS & FRACTALS, 2007, 33 (01) : 234 - 245
  • [46] Stability and multi-parametric Hopf bifurcation analyses of viral infection model with time delay
    Prakash, M.
    Balasubramaniam, P.
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2015, 8 (05)
  • [47] STABILITY AND HOPF BIFURCATION ANALYSIS OF A HTLV-I INFECTION MODEL WITH TIME-DELAY CTL IMMUNE RESPONSE
    Chen, Siyu
    Liu, Zhijun
    Wang, Lianwen
    Zhang, Xingan
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (02): : 812 - 832
  • [48] Establishment of non-lytic VZV infection in human neurons
    Baird, Nicholas
    Bowlin, Jacqueline
    Grose, Charles
    Cohrs, Randall
    Gilden, Don
    JOURNAL OF NEUROVIROLOGY, 2013, 19 : S8 - S8
  • [49] Hopf bifurcation and stability for a delayed tri-neuron network model
    Yan, Xiang-Ping
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 196 (02) : 579 - 595
  • [50] Stability and Hopf bifurcation in a delayed feedback control competitive websites model
    Cheng, Zunshui
    Li, Dehao
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 2917 - 2922
12345