Threshold dynamics and threshold analysis of HIV infection model with treatment

被引：2
|
作者：
Chen, Zhimin [1 ]
Liu, Xiuxiang [2 ]
Zeng, Liling [3 ]
机构：
[1] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Zhongshan Ave, Guangzhou 510665, Peoples R China
[2] South China Normal Univ, Sch Math Sci, Zhongshan Ave, Guangzhou 510631, Peoples R China
[3] Jinan Univ, Guangzhou Red Cross Hosp, Tradit Chinese Med Dept, 396 Tongfu Middle Rd, Guangzhou 510220, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
HIV infection model; Protease inhibitor; Time delay; Limiting system; Asymptotical stability; 34C60; 92D25; 34K20; 34D05; DELAY-DIFFERENTIAL EQUATIONS; GLOBAL STABILITY; MATHEMATICAL-ANALYSIS;
D O I：
10.1186/s13662-020-03057-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a human immunodeficiency virus (HIV) infection model that includes a protease inhibitor (PI), two intracellular delays, and a general incidence function is derived from biologically natural assumptions. The global dynamical behavior of the model in terms of the basic reproduction number R0 is investigated by the methods of Lyapunov functional and limiting system. The infection-free equilibrium is globally asymptotically stable if R0 <= 1. If R0>1, then the positive equilibrium is globally asymptotically stable. Finally, numerical simulations are performed to illustrate the main results and to analyze thre effects of time delays and the efficacy of the PI on R0.
引用
收藏
页数：25
相关论文
共 50 条
  • [1] Threshold dynamics and threshold analysis of HIV infection model with treatment
    Zhimin Chen
    Xiuxiang Liu
    Liling Zeng
    Advances in Difference Equations, 2020
  • [2] Threshold dynamics of an HIV infection model with two distinct cell subsets
    Wang, Xia
    Ge, Qing
    Chen, Yuming
    APPLIED MATHEMATICS LETTERS, 2020, 103
  • [3] THRESHOLD DYNAMICS OF TIME-DELAY IN HIV INFECTION MODEL WITH IMMUNE IMPAIRMENT
    Murugan, Pradeesh
    Mani, Prakash
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [4] Threshold dynamics for an HIV model in periodic environments
    Yang, Youping
    Xiao, Yanni
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 361 (01) : 59 - 68
  • [5] THRESHOLD ANALYSIS AND PROGRAMS FOR PREVENTION OF HIV-INFECTION
    HOLTGRAVE, DR
    QUALLS, NL
    MEDICAL DECISION MAKING, 1995, 15 (04) : 311 - 317
  • [6] Threshold dynamics of an HIV-TB co-infection model with multiple time delays
    Pitchaimani, M.
    Devi, A. Saranya
    TAMKANG JOURNAL OF MATHEMATICS, 2022, 53 (03): : 199 - 226
  • [7] Threshold dynamics of a general delayed HIV model with double transmission modes and latent viral infection
    Jiang, Xin
    AIMS MATHEMATICS, 2022, 7 (02): : 2456 - 2478
  • [8] Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition
    Wang, Jinliang
    Zhang, Ran
    Gao, Yue
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2023, 35 (03) : 2279 - 2311
  • [9] Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition
    Jinliang Wang
    Ran Zhang
    Yue Gao
    Journal of Dynamics and Differential Equations, 2023, 35 : 2279 - 2311
  • [10] Qualitative Analysis for an HIV Infection Model with Caspase-1-Mediated Pyroptosis of the Predominance: Threshold Dynamics and Traveling Waves
    Zhang, Ran
    Xu, Jiangxue
    Wang, Jinliang
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (04)
12345