报告题目：HIV-1 model with infection age and drug-resistance

报告人：  刘胜强 教授

报告时间：2021年1月4日（周一）10:30—12:00

报告地点：腾讯会议ID: 301 176 685

报告摘要: We propose a hybrid two-strain HIV dynamic model with mutation which describes the interactions of the healthy CD4+ T cells, infected CD4+ T cells and viruses, where two transmission modes, virus-to-cell and cell-to-cell, age structure and drug resistance are considered. We obtain the basic reproductive number for each strain. We conducted qualitative analyses of the model such as the asymptotic smoothness, uniform persistence and steady states stability. By subtle construction and estimates of Lyapunov functionals, we show that there exists the principle of competitive exclusion if there is no mutation, the disease-free and drug-resistant steady states are globally asymptotically stable if there is mutation. Furthermore, mutation, which from the drug-sensitive to drug-resistant strain, play a critical role in the existence and stability of steady states. Numerical simulations are also performed in order to illustrate the global dynamical behavior, and analyze the mutation impacts on dynamics of system.

报告人简介: : 刘胜强，2002年于中国科学院数学研究所获博士学位，2003年-2004年在芬兰Turku大学从事博士后工作，2005年—2007年任厦门大学数学科学学院副教授，2007年至2019年10月任哈尔滨工业大学教授，自2019年10月起任天津工业大学数学科学学院教授。现任中国数学会生物数学专业委员会常务委员、副秘书长，为天津市高校学科领军人才培养计划人选、《Mathematical Biosciences and Engineering》、《生物数学学报》编委。研究领域为生物数学、动力系统。先后主持国家自然科学基金3项，出版专著1本、参与编著两本，先后指导博士生10人，硕士生15人，在SIAM Journal on Applied Mathematics、Journal of Differential Equations、Journal of Nonlinear Science、Bulletin of Mathematical Biology、Mathematical Biosciences等应用数学领域知名学术期刊上发表SCI论文70余篇。

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