报告题目：带有混合单调性的一类时滞反应扩散系统和一类时滞非局部扩散系统的行波解（Traveling wave solutions in delayed reaction-diffusion systems and delayed nonlocal diffusion systems with mixed monotonicity）

报告人：王其如

时间：2014年7月4日  下午3：40

地点：集贤楼402室

摘要：This talk deals with the existence of traveling wave solutions in delayed reaction-diffusion systems and delayed nonlocal diffusion systems with mixed monotonicity. Based on two different mixed-quasi monotonicity reaction terms, we propose new conditions on the reaction terms and new definitions of upper and lower solutions. By using Schauder's fixed point theorem and a new cross-iteration scheme, we reduce the existence of traveling wave solutions to the existence of a pair of upper and lower solutions. The general results obtained have been applied to type-K monotone and type-K competitive diffusive Lotka-Volterra systems.

报告人简介：

王其如，男，博士，中山大学数学与计算科学学院教授、博士研究生导师，中山大学复杂系统研究中心主任，《微分方程年刊》、《Discrete Dynamics in Nature and Society》和《South Asian Journal of Mathematics》编委，广州市工业与应用数学学会副理事长，德国《数学文摘》和美国《数学评论》评论员。