应数学系蒋卫华教授邀请,加拿大西安大略大学郁培教授将于近日来公司进行讲学活动,欢迎感兴趣的师生参加! 报告题目:Dynamical analysis on a 2-dimensional disease model with convex incidence 报告时间:2015年5月14日上午9:00--10:00 报告地点:格物楼503 报告摘要:In this talk, a previously developed 2-dimensional disease model is presented, which can be used for both epidemiologic modelling and in-host disease modelling. The main attention of the study is focused on various dynamical behaviors of the system, including Hopf and generalized Hopf bifurcations which yield bistability and tristability, Bogdanov-Takens bifurcation, and homoclinic bifurcation. It is shown that the Bogdanov-Takens bifurcation and homoclinic bifurcation provide a new mechanism for generating disease recurrence, that is, cycles of remission and relapse such as the viral blips observed in HIV infection.Simulations are given to verify the analytical predictions. 报告人简介: 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 180 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. |