关于举行德克萨斯大学大河谷分校冯兆生教授学术报告会的通知

报告题目：Traveling wave phenomena to degenerate reaction-diffusion systems

报  告 人：冯兆生 教授(美国德克萨斯大学大河谷分校)

报告时间：2019年12月20日（星期五）上午10:00-11:00                

报告地点：4号楼4224室

邀  请 人：杨启贵 教授

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数学学院

2019年12月19日

报告摘要：

In this talk, we study the case that some species migrate from densely populated areas into sparsely populated areas to avoid crowding, and investigate a more general reaction-diffusion system by considering density-dependent dispersion as a regulatory mechanism of the cyclic changes. Here the probability that an animal moves from the point x1 to x2 depends on the density at x1. Under certain conditions, we apply the higher terms in the Taylor series and the center manifold method to obtain the local behavior around a non-hyperbolic point of codimension one in the phase plane, and use the Lie symmetry reduction method and the Abelian operator to explore bounded traveling wave solutions. Numerical simulation and biological explanation are presented.

报告人简介：

冯兆生，美国德克萨斯大学大河谷分校(University of Texas Rio Grande Valley)数学与统计学院终身教授，德克萨斯大学杰出成就奖获得者。主要研究方向有非线性分析, 分支和混沌理论, 数学物理问题, 数值计算和生物数学等。目前担任国际知名学术期刊 Communications in Nonlinear Science and Numerical Simulation 的主编和 Electronic Journal of Differential Equations 的执行主编，同时担任多个国际SCI学术杂志的编委。