报告题目：Dynamics of an Age-Structured HIV Model with Dual Transmission and CTL Immune Response

报告人：袁沅教授(加拿大纽芬兰纪念大学)

报告时间：2025年5月14日(10:00-11:00)

报告地点：复杂系统研究所四层(409)

报告人简介：袁沅教授现任加拿大纽芬兰纪念大学(Memorial University)数学与统计系终身正教授和博士生导师。2002年于加拿大西安大略大学(university of western ontario)获得博士学位。2002年荣获NSERC(加拿大国家自然科学基金)资助在滑铁卢大学(University of waterloo)做短暂博士后研究，随后于2002年9月起受聘于加拿大纽芬兰纪念大学。主要研究方向包括非线性动力系统的稳定性及分支分析、时滞微分方程及其在神经网络和生物数学等的应用、微分方程的符号及数值计算方法。现已在SIAM Journal of Applied Mathematics, Journal of Mathematical Biology,Journal of Mathematical Analysis and Applications,Journal of  Differential Equations等主要应用数学及生物数学杂志发表论文六十多篇。研究成果深受同行好评及引用，研究一直受到加拿大NSERC的资助。

报告人摘要：Both virus-to-cell and cell-to-cell transmission modes are critical in shaping the long-term dynamics of HIV infection. Furthermore, the immune response particularly the activity of cytotoxic T lymphocytes (CTLs), plays a significant role in determining the threshold conditions for viral persistence, To better understand these dynamics, we develop a mathematical model that incorporates age-structured with in-host virus dynamics and the immune response. This framework allows us to explore the complex interactions between HIV transmission, progression, and immune activity. By analyzing the characteristic equations, we determine the local stability of the feasible steady states. Additionally, using Lyapunov functionals and LaSalle's invariance principle, we establish that the global threshold dynamics of the system are governed by the immune-inactivated and immune-activated reproduction rates. This study provides a more precise representation of the intricate relationship between HIV and the immune system, offering insights that could inform future therapeutic strategies.

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