报告题目：Dynamics of an HIV Infection Model with Two Infection Routes and Evolutionary Competition between Two Viral Strains

主 讲 人：赵洪涌

单 位：南京航空航天大学

时 间：12月8日15:00

腾 讯 ID：427-487-163

密 码：123456

摘 要：

We formulate an HIV model with two strains representing a drug-sensitive virus and a drug-resistant virus to study the joint mechanism of drug resistance. We first reduce the infection-age model to a system of integro-differential equations with infinite delays. Then the stability of the equilibria and the dynamics of competition between two viruses are studied to illuminate the joint effects of infection-age and two infection routes on the evolution of both drug-sensitive and drug-resistant strains before and during drug treatment. Numerical simulations confirm that the basic reproduction numbers and mutation coefficient are the key threshold parameters for determining the competition results of the two viral strains and indicate the cell-to-cell transmission increases the likelihood that HIV breaks out within the host. Finally, sensitivity analyses suggest that the available combination therapy should be taken once symptoms of resistance appear during drug treatment, and demonstrate that the presence of cell-to-cell transmission attenuates the efficacy of the existing antiretroviral drug treatments.

简 介：

赵洪涌，四川大学理学博士，南京大学博士后。现为南京航空航天大学教授，博士生导师，九三学社社员。长期从事生物系统动力学、传染病动力学分析与控制、时滞微分方程动力学等研究。江苏省高校“青蓝工程”优秀青年骨干教师和中青年学术带头人。2014年至2020年，连续七年入选爱思唯尔中国高被引学者榜单。获省自然科学优秀论文二等奖一项、江苏省高校科技成果二等奖一项、获南京航空航天大学“群星”创新奖一项。2016年入选南京航空航天大学年度人物。国家科技部重大项目和江苏省高校重大项目会评专家，国家自然科学基金和江苏省自然科学基金通讯评议专家；在研国家自然科学基金一项。在Journal of Dynamics and Differential Equation、Journal of Mathematical Biology、Journal of Theoretical Biology、Bulletin of Mathematical Biology、Mathematical Biosciences、Journal of Nonlinear Science、Journal of Mathematical Analysis and Applications等杂志上发表学术论文一百余篇，被SCI刊物引用二千余次。现为中国生物数学学会常务理事，江苏省生物数学学会副理事长，TCCT随机系统控制委员会委员。