一类具有扩散和时滞的HIV模型的动力学分析  

Dynamical analysis of a diffusion HIV model with time delay

作　　者：蒲武军[1] PU Wu-jun(Department of Mathematics,Longnan Teachers College,Longnan 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：《陕西理工大学学报（自然科学版）》2021年第3期38-44,共7页Journal of Shaanxi University of Technology:Natural Science Edition

基　　金：陇南市科技指导性计划项目(2019-ZD-14)。

摘　　要：研究了一类具有扩散和时滞的HIV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,借助于线性化方法获得了未感染平衡点的局部渐近稳定性,构造相应的Lyapunov函数分别证明了未感染平衡点、感染无免疫平衡点、感染免疫平衡点的全局渐近稳定性,丰富了已有的结果。In this paper, we have investigated a diffusion HIV model with delay. By using the abstract functional differential equation, the existence and boundedness of its nonnegative solutions are discussed. The local asymptotic stability of the uninfected steady state is analyzed by linearization technique. Furthermore, the global asymptotic stability of all equilibria are studied with the direct Lyapunov method, and improves and extends some known results.

关 键 词：HIV模型 扩散 时滞 全局渐近稳定性 

分 类 号：O175.12[理学—数学]