A note for the global stability of a delay differential equation  of hepatitis B virus infection

doi:10.3934/mbe.2011.8.689

Mathematical Biosciences and Engineering, 2011, 8(3): 689-694. doi: 10.3934/mbe.2011.8.689. Primary: 92D25, 34D23, 34K20.

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A note for the global stability of a delay differential equation of hepatitis B virus infection

1. Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190

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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].

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Keywords: HBV model; time delay.; Lyapunov functional; global stability

Citation: Bao-Zhu Guo, Li-Ming Cai. A note for the global stability of a delay differential equation of hepatitis B virus infection. Mathematical Biosciences and Engineering, 2011, 8(3): 689-694. doi: 10.3934/mbe.2011.8.689

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This article has been cited by:

1. Xinchao Yang, Xiju Zong, Xingong Cheng, Zhenlai Han, Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection, Journal of Applied Mathematics, 2013, 2013, 1, 10.1155/2013/875783
2. Liming Cai, Bin Fang, Xuezhi Li, A note of a staged progression HIV model with imperfect vaccine, Applied Mathematics and Computation, 2014, 234, 412, 10.1016/j.amc.2014.01.179
3. Miaolei Li, Jian Zu, The review of differential equation models of HBV infection dynamics, Journal of Virological Methods, 2019, 10.1016/j.jviromet.2019.01.014

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