报告题目：Modelling and Dynamical Analysis of Recurrent Infections

报告时间：2015年6月12日 上午9:00-10：00

报告地点：数学馆 3楼会议室（310）

报告人：加拿大西安大略大学 郁培教授

报告摘要：

In this talk, we will present dynamic models of recurrent infections in individuals. These viral infections, HIV being a well-known example, have long periods of low viral activity punctuated by episodes of high viral reproduction. Previous models of the dynamics of these viral blips used either stochastic components or forcing terms as the triggers to simulate the phenomenon. Our new developed models require neither stochastic features nor forcing terms and generate the viral blips by dynamic bifurcations. Using dynamical systems theory, we hypothesize four conditions for the existence of viral blips in a deterministic in-host infection model. These conditions allow us to develop very simple (2- and 3-dimensional) infection models which produce viral blips, and we determine the complete parameter range for the 3-dimensional model in which blips are possible, using stability and bifurcation analysis. Other possible mechanisms of generating blips will also be discussed.

专家简介：

Pei Yu is currently a Professor in the Department of Applied Mathematics, Western University, Canada. He received his B.Sc. degree from Shanghai Jiao Tong University in 1982, and M.A.Sc. and Ph.D. degrees from University of Waterloo in 1984 and 1986, respectively. Professor Yu's main research interests include nonlinear and chaotic dynamical systems, stability and bifurcation, computation of differential equations, biological mathematics and applications to physical and engineering systems. He (as an author or a co-author) has published 3 monographs, over 170 refereed journal articles. He is a member of editorial board of several international journals. Professor Yu received a Premier's Research Excellence Award of Ontario. He is Guest Professors of several universities.