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