讲座题目：Existence of Wavefront Solutions in Reaction-Diffusion Systems, and Applications to Ecological Models

主讲人：Professor Wei Feng, USA

时间：2016年 12月23 日 上午10:30

地点：北邮主楼1214

主要内容：

We study the existence of traveling wave solutions in a general class of mixed quasi-monotone reaction-diffusion systems (with quasi-linear type and time delays). First, by applying the Schauder Fixed Point Theorem, we prove the existence of a traveling wave solution between classically defined upper and lower solutions. For better applications of the upper/lower solution method on various real-life models, the existence result is further extended under weak form or piecewise smooth upper-lower solutions. In several reaction-diffusion systems with time delays (single-species logistic growth, N-species competition, food chain, and ratio-dependent predator-prey with Gompertz growth), we apply our main result to establish the existence of traveling wave solutions flowing towards the positive or coexistent states under reasonable conditions on ecological parameters.

报告人简介：

Prof. Feng went to USA from Huazhong University of Science and Technology in 1982, and received her Ph.D. in mathematics from North Carolina State University in 1988. She now is a full professor and Graduate Coordinator in the Department of Mathematics and Statistics at University of North Carolina Wilmington, USA. She has published 40 research articles and edited several conference proceedings, served on editorial board of two mathematical journals, and worked as department chair for 8 years. She is also the recipient of Distinguished Faculty Scholar Award and Graduate Mentor Award from her university.