报告人：Junping Shi (College of William & Mary)

1. 报告题目：Effect of nonlocal interaction or dispersal on the spatial-temporal pattern formation of reaction-diffusion systems

报告摘要：In reaction-diffusion models describing biological and chemical interactions, some dispersal and interaction can be of nonlocal nature. We show that such nonlocal spatial average can induce instability of constant steady state, which is different from classical Turing instability. In particular, for systems of two equations containing spatial averages, spatially non-homogeneous time-periodic orbits could occur through bifurcations from the constant steady state. Examples from a nonlocal predator-prey model and a pollen tube tip model will be used to demonstrate such bifurcations. We will show that when a nonlocal dispersal occurs instead of classical diffusion, how the mechanism of Turing diffusion-induced instability and pattern formation changes. Example from activator-inhibitor with nonlocal dispersal and a marsh grass model will be used to demonstrate pattern formation.

2. 讲座主题：生物种群扩散和交互作用的方式与时空斑图的形成

报告、讲座时间：2021年4月9日8:00-11:00

报告、讲座地点：腾讯会议，会议ID： 836 559 320

                网址：https://meeting.tencent.com/s/cb6VzZC9pgBP

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报告人主页：http://jxshix.people.wm.edu