The Fisher-KPP equation over graphs: An application to species spreading in river networks

讲座时间 Datetime: 

星期五, 2019/07/05 - 从 15:30 到 16:30

地点 Venue: 

海滨红楼6号楼1楼会议室

报告人 Speaker: 

杜一宏 教授

单位 Affiliation: 

澳大利亚新英格兰大学

报告摘要 Abstract: 

In this talk, we consider the dynamical behavior of a new species spreading from a location in a river network where two or three branches meet, based on the widely used Fisher-KPP advection-diffusion equation. The river branches are represented by some simple graphs with every edge a half infinite line, meeting at a single vertex. We obtain a rather complete description of the long-time behavior for every case under consideration, which can be loosely described by a trichotomy, including two different kinds of persistence states as parameters vary. The talk is based on joint work with Bendong Lou, Rui Peng and Maolin Zhou.

在本文中，我们基于广泛使用的Fisher-KPP平流扩散方程，考虑了一个新物种从两个或三个支流交汇的河网位置扩散的动力学行为。河的支流用一些简单的图来表示，每一条边都是半无限长的线，在一个顶点处相交。我们对所考虑的每一个案例都得到了一个相当完整的长期行为描述，这可以用三分法粗略地描述，包括参数变化引起的两种不同的持久态。这次工作是基于与娄本东、彭瑞和周茂林的共同合作。