应用数学2025，Vol.38Issue(3)：721-736,16.
具有潜伏感染细胞再激活和缺陷病毒转化的HIV动力学模型研究
Study of HIV Dynamics Models with Latent Infected Cell Reactivation and Defective Virus Conversion
摘要
Abstract
This paper establishes a class of HIV virus-cell infection model,considering latent in-fected cell reactivation and conversion of defective virus to intact virus.Firstly,the global existence and ultimate boundedness of the system solutions are discussed,the basic reproduction number R0 of the system is defined,and the existence of system equilibria(disease-free equilibrium point,endemic equi-librium point)is discussed.Secondly,the criteria for local asymptotic stability of system equilibrium points are established by computing the Jacobian matrix at equilibrium points when R0＞1 and R0＜1,and the global asymptotic stability criteria of system equilibrium points are established by constructing appropriate Lyapunov functions and applying the LaSalle invariance principle.Finally,theoretical results are verified by numerical simulations,revealing that the rate of defective virus conversion plays a crucial role in the basic reproduction number,being directly proportional to each other,further exacerbating the transmission of HIV.关键词
HIV潜伏感染再激活/全局渐近稳定性/Lyapunov函数/缺陷病毒转化Key words
HIV latent infection reactivation/Globally asymptotical stability/Lyapunov function/Virus defect transformation分类
数学引用本文复制引用
唐雯佳,王新越,白嘉瑶,孙敏敏,张龙..具有潜伏感染细胞再激活和缺陷病毒转化的HIV动力学模型研究[J].应用数学,2025,38(3):721-736,16.基金项目
国家大学生创新训练计划(202310755086) （202310755086）
国家自然科学基金(12261087) （12261087）
