A NOTE FOR THE GLOBAL STABILITY OF A DELAY DIFFERENTIAL EQUATION OF HEPATITIS B VIRUS INFECTION

被引：20
|
作者：
Guo, Bao-Zhu [1 ,2 ,3 ]
Cai, Li-Ming [1 ]
机构：
[1] Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
[3] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2011年 / 8卷 / 03期
基金：
新加坡国家研究基金会; 中国国家自然科学基金;
关键词：
HBV model; global stability; Lyapunov functional; time delay; LYAPUNOV FUNCTIONS; VIRAL-INFECTIONS; DYNAMICS; MODEL; SEIR;
D O I：
10.3934/mbe.2011.8.689
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The global stability for a delayed HIV-1 infection model is investigated. It is shown that the global dynamics of the system can be completely determined by the reproduction number, and the chronic infected equilibrium of the system is globally asymptotically stable whenever it exists. This improves the related results presented in [S. A. Gourley, Y. Kuang and J.D.Nagy, Dynamics of a delay differential equation model of hepatitis B virus infection, Journal of Biological Dynamics, 2(2008), 140-153].
引用
收藏
页码：689 / 694
页数：6
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