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

被引：21
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：
中国国家自然科学基金; 新加坡国家研究基金会;
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
相关论文
共 15 条
[1]  
Gourley Stephen A., 2008, Journal of Biological Dynamics, V2, P140, DOI 10.1080/17513750701769873
[2]   LYAPUNOV FUNCTIONALS FOR DELAY DIFFERENTIAL EQUATIONS MODEL OF VIRAL INFECTIONS [J].
Huang, Gang ;
Takeuchi, Yasuhiro ;
Ma, Wanbiao .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2010, 70 (07) :2693-2708
[3]   Global Stability for Delay SIR and SEIR Epidemic Models with Nonlinear Incidence Rate [J].
Huang, Gang ;
Takeuchi, Yasuhiro ;
Ma, Wanbiao ;
Wei, Daijun .
BULLETIN OF MATHEMATICAL BIOLOGY, 2010, 72 (05) :1192-1207
[4]   Global properties for virus dynamics model with Beddington-DeAngelis functional response [J].
Huang, Gang ;
Ma, Wanbiao ;
Takeuchi, Yasuhiro .
APPLIED MATHEMATICS LETTERS, 2009, 22 (11) :1690-1693
[5]   Global properties of basic virus dynamics models [J].
Korobeinikov, A .
BULLETIN OF MATHEMATICAL BIOLOGY, 2004, 66 (04) :879-883
[6]  
Korobeinikov A, 2004, MATH MED BIOL, V21, P75
[7]   Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models [J].
Korobeinikov, A ;
Wake, GC .
APPLIED MATHEMATICS LETTERS, 2002, 15 (08) :955-960
[8]   Global properties of infectious disease models with nonlinear incidence [J].
Korobeinikov, Andrei .
BULLETIN OF MATHEMATICAL BIOLOGY, 2007, 69 (06) :1871-1886
[9]   IMPACT OF INTRACELLULAR DELAYS AND TARGET-CELL DYNAMICS ON IN VIVO VIRAL INFECTIONS [J].
Li, Michael Y. ;
Shu, Hongying .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2010, 70 (07) :2434-2448
[10]   Global Dynamics of an In-host Viral Model with Intracellular Delay [J].
Li, Michael Y. ;
Shu, Hongying .
BULLETIN OF MATHEMATICAL BIOLOGY, 2010, 72 (06) :1492-1505
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