学术报告
Traveling Waves for Monotone Semiflows with Weak Compactness
题目:Traveling Waves for Monotone Semiflows with Weak Compactness
报告人: Prof. Xiaoqiang Zhao (Memorial Univ. of Newfoundland, Canada)
摘要: In this talk, I will report our research on traveling waves for monotone semiflows of monostable type with weak compactness. To weaken the compactness condition imposed in previous works, we construct a compact set in the kinetic phase space and use an abstract variant of Helly's theorem. Then we apply the developed theory to a partially degenerate cooperative reaction-diffusion system, a nonlocal dispersal equation with time delay, and a two species competition model with nonlocal dispersal. It turns out that for each of these three systems, the spreading speed is also the minimal wave speed for monostable traveling waves no matter whether the spreading speed is linearly determinate. If time permits, I will mention more recent applications of this theory to other spatial models in population biology and epidemiology.
时间:2016年5月30日上午9:30-10:30
地点:首都师大北二区教学楼133教室
欢迎全体师生积极参加!