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

页数：25

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