Stability and Hopf Bifurcation Analysis of an HIV Infection Model with Saturation Incidence and Two Time Delays

被引：0
|
作者：
Miao, Hui [1 ]
Kang, Chengjun [1 ]
机构：
[1] Shanxi Univ Finance & Econ, Fac Appl Math, Taiyuan 030006, Shanxi, Peoples R China
来源：
ENGINEERING LETTERS | 2019年 / 27卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Basic reproduction number; Equilibrium; Asymptotically stable; Hopf bifurcation; GENERAL INCIDENCE RATE; GLOBAL STABILITY; MATHEMATICAL-ANALYSIS; IMMUNE-RESPONSE; DYNAMICS;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we investigate the dynamical properties for an HIV infection model with saturation incidence and two delays describing time needed for infection of cell and CTL response generation. Moreover, the effect of time delays on stability of the equilibria for the CTL response has been studied. Finally, numerical simulations are carried out to validate our analytical results.
引用
收藏
页码：9 / 17
页数：9
相关论文
共 50 条
  • [41] Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease Model with Two Delays and Reinfection
    Zhang, Yanxia
    Li, Long
    Huang, Junjian
    Liu, Yanjun
    COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2021, 2021
  • [42] Stability and Hopf bifurcation in a simplified BAM neural network with two time delays
    Cao, Jinde
    Xiao, Min
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (02): : 416 - 430
  • [43] Stability and Global Hopf Bifurcation Analysis on a Ratio-Dependent Predator-Prey Model with Two Time Delays
    Zhao, Huitao
    Lin, Yiping
    Dai, Yunxian
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [44] Hopf bifurcation and stability analysis for a predator-prey model with delays
    Chen, Hongbing
    Wang, Limei
    ADVANCES IN APPLIED SCIENCES AND MANUFACTURING, PTS 1 AND 2, 2014, 850-851 : 901 - 904
  • [45] Stability and Hopf Bifurcation Analysis in Hindmarsh-Rose Neuron Model with Multiple Time Delays
    Hu, Dongpo
    Cao, Hongjun
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (11):
  • [46] Stability and Hopf bifurcation for a HIV infection model with delayed immune response
    Zhang, Xiao
    Huang, Dongwei
    Guo, Yongfeng
    BIOTECHNOLOGY, CHEMICAL AND MATERIALS ENGINEERING II, PTS 1 AND 2, 2013, 641-642 : 808 - 811
  • [47] Global Stability and Bifurcation Analysis of a Virus Infection Model with Nonlinear Incidence and Multiple Delays
    Xu, Jinhu
    Huang, Guokun
    FRACTAL AND FRACTIONAL, 2023, 7 (08)
  • [48] Stability and Hopf Bifurcation of a Stage-Structured Cannibalism Model with Two Delays
    Zheng, Tao
    Zhang, Long
    Luo, Yantao
    Zhou, Xinran
    Li, Hong-Li
    Teng, Zhidong
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (16):
  • [49] Stability and bifurcation analysis in a viral infection model with delays
    Sun, Xinguo
    Wei, Junjie
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [50] Stability and bifurcation analysis in a viral infection model with delays
    Xinguo Sun
    Junjie Wei
    Advances in Difference Equations, 2015
12345