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吴文俊数学重点实验室动力系统系列讲座之三十三【赵晓强教授】

报告人:  Professor Xiaoqiang Zhao

Memorial University of Newfoundland, Canada

题目: Propagation Phenomena for A Reaction-Advection-Diffusion Competition Model in A Periodic Habitat

时间: 3月27日(周五)下午16:00 — 17:00

地点:管理科研楼1518教室

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. 

欢迎感兴趣的师生参加!

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