Global Dynamics of an In-host Viral Model with Intracellular Delay
Global Dynamics of an In-host Viral Model with Intracellular Delay
复制标题
DOI：
10.1007/s11538-010-9503-x
复制
发表时间：
2010-08-01
影响因子：
3.5
通讯作者：
Shu, Hongying
中科院分区：
文献类型：
--
作者：
Li, Michael Y.;Shu, Hongying
研究了一类具有细胞内时滞的一般寄主模型的动力学性质。该模型可以描述HIV-I、丙型肝炎病毒和乙肝病毒在体内的感染。也可作为HTLV-I感染的模型。我们导出了病毒感染的基本繁殖数R(0)，并证明了全局动力学完全由R(0)的值决定。如果R(0)为1，则无感染平衡点是全局渐近稳定的，病毒被清除。如果R(0)>；1，则感染持续存在，并且慢性感染平衡点是局部渐近稳定的。此外，利用Lyapunov泛函的方法，我们证明了当R(0)和gt；1时，慢性感染平衡点是全局渐近稳定的。我们的结果表明，为了使寄主模型中的细胞间时滞产生持续的振荡，必须在目标细胞间存在Logistic有丝分裂项。
The dynamics of a general in-host model with intracellular delay is studied. The model can describe in vivo infections of HIV-I, HCV, and HBV. It can also be considered as a model for HTLV-I infection. We derive the basic reproduction number R (0) for the viral infection, and establish that the global dynamics are completely determined by the values of R (0). If R (0)a parts per thousand currency sign1, the infection-free equilibrium is globally asymptotically stable, and the virus are cleared. If R (0)> 1, then the infection persists and the chronic-infection equilibrium is locally asymptotically stable. Furthermore, using the method of Lyapunov functional, we prove that the chronic-infection equilibrium is globally asymptotically stable when R (0)> 1. Our results shows that for intercellular delays to generate sustained oscillations in in-host models it is necessary have a logistic mitosis term in target-cell compartments.