“数理论坛”第122期：Effect of time delays in an HIV virotherapy model with nonlinear incidence

报告题目

Effect of time delays in an HIV virotherapy model with nonlinear incidence

报告时间

2019年11月6日下午15：00

报告地点

东区综合楼A1404会议室

报告人

袁沅（加拿大纽芬兰纪念大学教授）

报告人

简介

2002年毕业于加拿大西安大略大学应用数学专业,同年入职加拿大纽芬兰纪念大学,现为终身教授.袁教授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, Nonlinear Analysis: Real World Applications, SIAM Journal on Applied Dynamical Systems等主要应用数学及生物数学杂志发表论文近六十篇.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.

报告摘要

In this talk, we propose a mathematical model for HIV infection with delays in cell infection and virus production. The model examines a viral therapy for controlling infections through recombining HIV with a genetically modified virus. For this model, we derive two biologically insightful quantities (reproduction numbers) R0 and Rz, and their threshold properties are discussed. When R0 <1, the infection-free equilibrium E0 is globally asymptotically stable. If R0 >1 and Rz <1, the single-infection equilibrium Es is globally asymptotically stable. When Rz >1, there occurs the double-infection equilibrium Ed, and there exists a constant Rb such that Ed is asymptotically stable if 1<Rz <Rb. Some simulations are performed to support and complement the theoretical results.

邀请人

郭上江 教授

2019年10月28日