学术信息

The dynamics of nonlocal diffusion systems with free boundary

报告人简介:

王明新,哈尔滨工业大学教授。研究方向:偏微分方程、生物数学。已发表期刊论文270余篇,MR引用3100余次。

报告摘要:

This talk concerns with the free boundary problems of nonlocal diffusion systems, which are natural extensions of the free boundary problems of reaction diffusion systems, where nonlocal diffusions are used to describe the population dispersal, with the free boundary representing the spreading front of the species. We prove that such kind of nonlocal diffusion problems has aunique global solution, and then show that a spreading-vanishing dichotomy holds. Moreover, criteria of spreading and vanishing are established for the classical Lotka-Volterra competitive and prey-predator models.

报告主持:王学锋 教授

陶有山

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