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

作　　者：蒲武军[1] PU wu-jun(Department of Mathematics,Longnan Teachers College,Longnan,Gansu 742500,China)

机构地区：[1]陇南师范高等专科学校数学系,甘肃陇南742500

出　　处：《井冈山大学学报（自然科学版）》2021年第6期8-13,共6页Journal of Jinggangshan University (Natural Science)

基　　金：陇南市2019年科技指导性计划项目(2019-ZD-14)。

摘　　要：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.

关 键 词：HBV病毒模型 扩散 时滞 渐近稳定性 李亚普诺夫函数 

分 类 号：O175.26[理学—数学]