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

Bao-Zhu Guo; Li-Ming Cai

doi:10.3934/mbe.2011.8.689

Article Contents

2011, Volume 8, Issue 3: 689-694. Doi: 10.3934/mbe.2011.8.689

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

Bao-Zhu Guo^1, and
Li-Ming Cai^1,

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

Received: September 2010

Revised: October 2010

Published: June 2011

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Abstract

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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Mathematics Subject Classification: Primary: 92D25, 34D23, 34K20.

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References

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