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.
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页码：207 / 214
页数：8
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