Traveling wave solutions of a class of multi-species non-cooperative  reaction-diffusion systems

主讲人：彭锐

摘要：In this talk, we establish a sharp existence result on weak traveling wave solutions for a general class of multi-species reaction-diffusion systems. Moreover, the minimal speed of the traveling waves is explicitly determined. Such a weak traveling wave solution connects the predator-free equilibrium point at -\infinity but needs not to connect the coexistence equilibrium at +\infinity. We apply this  result to three important non-cooperative systems: the classical diffusive SIS system with mass-action transmission  mechanism for the spread of infectious disease, a predator-prey system with age structure and a generalized Lotka-Volterra predator-prey system of one predator species  feeding on n prey species, and prove  that their weak traveling wave solutions are actually traveling wave solutions that connect  the coexistence equilibrium at +\infinity.This is a joint work with Shangbing Ai (University of Alabama, USA), Yihong Du (University of New England, Australia) and Yujuan Jiao (Northwest Minzu University, China).

主讲人简介：彭锐，教授，受聘浙江师范大学杰出教授。博士毕业于东南大学和澳大利亚新英格兰大学，曾在加拿大纽芬兰大学AARMS和美国明尼苏达大学IMA（美国NSF资助）从事博士后工作。目前的主要研究兴趣包括偏微分方程、动力系统理论以及在生物学、传染病学和化学反应等领域的应用。已在AIHP-ANL、JFA、JMPA、JNS、SIMA、SIAP、TAMS等数学杂志发表学术论文多篇。

邀请人：李骥

时间：2022年11月4日（星期五）10:00-12:00