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

邀请人

郭上江 教授

2019年10月28日