应用数学2025，Vol.38Issue(2)：584-594,11.
一类具有周期治疗和非局部感染的反应扩散多菌株HIV模型的动力学分析
Threshold Dynamics of a Spatial Heterogeneous Reaction-diffusion HIV Model with Periodic Therapy Nonlocal Infection and Multiply Strains
摘要
Abstract
In this paper,we establish a periodic reaction-diffusion model for HIV infection involving multiple strains,and considering two important factors:spatial heterogeneity and nonlocal infection.Firstly,the well-posedness of the system is studied.Secondly,by using the renewal equation,the next generation operator R(x)of the system is derived,and the basic reproduction number R0 is defined as the spectral radius of R(x).Meanwhile,the equivalence between R0 and the principal eigenvalue of the corresponding eigenvalue problem is discussed.Finally,the dynamical behavior of the system with respect to the threshold R0 is analyzed,that is,when R0＜1,the infection-free periodic solution is globally attractive,and the system is uniformly persistent when R0＞1.关键词
多菌株HIV模型/周期治疗/反应扩散/非局部感染/基本再生数/阈值动力学Key words
Multiply strains HIV model/Periodic therapy/Reaction-diffusion nonlocal infection/Basic reproduction number/Threshold dynamics分类
数学引用本文复制引用
陈龙昊,吴鹏,何泽荣..一类具有周期治疗和非局部感染的反应扩散多菌株HIV模型的动力学分析[J].应用数学,2025,38(2):584-594,11.基金项目
国家自然科学基金(12201557) （12201557）
浙江省属高校基本科研业务费专项资金(GK249909299001-020) （GK249909299001-020）
