Global stability of a delayed HIV infection model with nonlinear incidence rate

被引：19
|
作者：
Yuan, Zhaohui [1 ]
Ma, Zhongjun [2 ]
Tang, Xianhua [3 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China
[3] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
来源：
NONLINEAR DYNAMICS | 2012年 / 68卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Nonlinear incidence rate; Delay; Stability; HIV; CTL; DIFFERENTIAL-EQUATION MODELS; DYNAMICS IN-VIVO; INTRACELLULAR DELAY; IMMUNE-RESPONSE; VIRUS DYNAMICS; CLEARANCE RATE; DRUG-THERAPY; TIME;
D O I：
10.1007/s11071-011-0219-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Under the assumption that the incidence rate of the infection and the removal rate of the infective by cytotoxic T lymphocytes are nonlinear, we study the global dynamics of a HIV infection model with the response of the immune system using characteristic equation, the Fluctuation lemma, and the direct Lyapunov method. The existence of a threshold parameter, i.e., the basic reproduction number or basic reproductive ratio is established and the global stability of the equilibria is discussed.
引用
收藏
页码：207 / 214
页数：8
相关论文
共 50 条
  • [41] Stability and Hopf bifurcation of a delayed epidemic model with stage structure and nonlinear incidence rate
    Xu, Rui
    Tian, Xiaohong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (14) : 2150 - 2163
  • [42] Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
    Muroya, Yoshiaki
    Enatsu, Yoichi
    Nakata, Yukihiko
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (01) : 1 - 14
  • [43] Stability analysis for delayed viral infection model with multitarget cells and general incidence rate
    Wang, Jinliang
    Tian, Xinxin
    Wang, Xia
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2016, 9 (01)
  • [44] Stability of delayed virus infection model with a general incidence rate and adaptive immune response
    Chen, Zhimin
    Liu, Xiuxiang
    Xie, Zhongzhong
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2018, 13 (02): : 677 - 708
  • [45] A delayed computer virus model with nonlinear incidence rate
    Chu, Yugui
    Xia, Wanjun
    Wang, Zecheng
    SYSTEMS SCIENCE & CONTROL ENGINEERING, 2019, 7 (01) : 389 - 406
  • [46] Analysis of a Delayed SIR Model with Nonlinear Incidence Rate
    Zhang, Jin-Zhu
    Jin, Zhen
    Liu, Quan-Xing
    Zhang, Zhi-Yu
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2008, 2008
  • [47] A delayed SIR model with general nonlinear incidence rate
    Luju Liu
    Advances in Difference Equations, 2015
  • [48] A delayed SIR model with general nonlinear incidence rate
    Liu, Luju
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [49] The Dynamics of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate
    Hussien, Reem Mudar
    Naji, Raid Kamel
    JOURNAL OF APPLIED MATHEMATICS, 2023, 2023
  • [50] Global stability for an HIV-1 infection model with Beddington-DeAngelis incidence rate and CTL immune response
    Lv, Cuifang
    Huang, Lihong
    Yuan, Zhaohui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (01) : 121 - 127
12345