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The asymptotic behavior and stability of traveling wave solutions of delayed reaction-diffusion equations and integro-difference equations

数学公众报告(120周年校庆系列第66场)

报告题目(Title)：The asymptotic behavior and stability of traveling wave solutions of delayed reaction-diffusion equations and integro-difference equations

报告人(Speaker)：李坤教授（湖南第一师范学院）

地点(Place)：腾讯会议ID：500-226-098

时间(Time)：2022 年12月16日(周五), 15:00-16:00

邀请人(Inviter)：黎雄

报告摘要

In this talk, we first consider the asymptotic behavior, uniqueness and stability of traveling wave solutions of delayed reaction-diffusion equations and integro-difference equations. The exponential decay properties at infinities and global asymptotic stability of traveling wave solutions are proved. These results are partly based on the principle of comparison. Finally, we review some recent development on periodic traveling wave solutions and stochastic traveling wave solutions of reaction-diffusion equations and give some questions for consideration.

主讲人简介

李坤，湖南第一师范学院教授，主要从事连续与离散的时滞反应扩散系统和积分-差分系统的行波解及其渐近性态的研究，在行波解的存在性、渐近行为、单调性、唯一性和稳定性等方面取得了一定的成果。

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