5月7日赵晓强教授学术报告(太阳成集团)
报告人:赵晓强 教授
报告题目:Propagation phenomena for a reaction-advection-diffusion competition
model in a periodic habitat
报告时间:2015年5月7日(周四)下午3:00-4:00
报告地点:静远楼1508学术报告厅
摘 要: In this talk, I will report our recent research on a reaction-advection-diffusion
competition model in a periodic habitat. We first investigate the global attractivity of a
semi-trivial steady state (i.e., the competitive exclusion) for the periodic initial value
problem. Then we establish the existence of the rightward spreading speed and its coincidence
with the minimal wave speed for spatially periodic rightward traveling waves. Further, we
obtain a set of sufficient conditions for the rightward spreading speed to be linearly
determinate. Finally, we apply the obtained results to a prototypical reaction-diffusion model.
Our method involves monotone semiflows, principal eigenvalues, lower and upper solutions. We
also extend this work to the time and space periodic case.
赵晓强教授简介
Professor Xiaoqiang Zhao got his Ph.D. degree from the Chinese Academy of Sciences (CAS), Beijing. From 1990
to 1996 he worked in the Institute of Applied Mathematics, CAS. Currently he is a full professor in the
Department of Mathematics and Statistics, Memorial Univrsity of Newfloundland (MUN), Canada. His research
interests are Applied Dynamical Systems, Differential Equations, and Mathematical Biology. He has published
more than 100 research articles in a variety of international journals including prestigious:Communications
on Pure and Applied Mathematics、J. EuropeanMath. Soc.、J. Reine Angew. Math.、SIAM J. Math. Anal.、SIAM J.
Appl. Math., J. Functional Analysis、J. Differential Equations、Nonlinearity、J. Dynamics and Differential
Equations、J. Math. Biology and Bulletin of Math. Biology. His research monograph Dynamical Systems in
Population Biology was published by Springer in 2003. Prof. Zhao also serves as editors of three
international journals and is now an Editor-in-chief of Canadian Mathematical Bulletin.More information is
available from his website at http://www.math.mun.ca/~xzhao/