学 术 报 告

报告人：袁媛 教授

Memorial University of Newfoundland, Canada

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

时间：10 月 15 日（星期四），上午 10:00-11:00

地点：致远楼102

欢迎各位老师和同学参加！

袁媛教授2002获西安大略大学博士学位。自2002始任教于纽芬兰纪念大学数学与统计系，先后担任助理教授、副教授、教授。主要研究领域为生物数学、生态学、非线性动力系统、时滞微分方程等。迄今为止，袁媛教授已在SIAM J. Appl. Math.、SIAM J. Appl. Dyn. Syst.、Journal of Differential Equations、Journal of Mathematical Biology、Journal of Theoretical Biology、J. Nonlinear Science、Nonlinearity、Physica D等国际应用数学以及微分方程、生物数学领域top期刊上发表学术论文近五十篇,并兼任多个国际期刊编委、特邀编辑等。

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 virus with a genetically modified virus. For this model, we derive two biologically insightful quantities (reproduction numbers) R_0 and R_z, and their threshold properties are discussed. When R_0 < 1, the infection-free equilibrium E_0 is globally asymptotically stable. If R_0 > 1 and R_z<1, the

single-infection equilibrium E_s is globally asymptotically stable. When R_z>1, there occurs the double-infection equilibrium E_d, and there exists a constant R_b such that E_d is asymptotically stable if 1< R_z < R_b. Some simulations are performed to support and complement the theoretical results. This is a joint work with Dr. Yun Tian.