一类多时滞反应扩散HBV病毒模型的动力学分析

DYNAMICAL ANALYSIS OF A DIFFUSION HBV VIRUS DYNAMICS MODEL WITH TIME DELAYS

研究了一类具有时滞的反应扩散病毒模型。利用抽象泛函微分方程讨论了该模型非负解的存在性和有界性,借助线性化方法获得了无病平衡点的局部渐近稳定性,构造相应的Lyapunov函数分别证明了无病平衡点的全局渐近稳定性和地方病平衡点的全局渐近稳定性,完善了已有的结果。

A diffusion HBV virus model with delay was investigated. By using the abstract functional differential equation, the existence and boundedness of its nonnegative solutions were discussed. The local stability of the uninfected steady state was analyzed by linearization technique, and the global stability of the uninfected steady and the infected steady state were studied with the direct Lyapunov method, which improves and extends some known results.