报告题目：Turing instability of the periodic solutions for the reaction-diffusion system with nonlocal delays

报告人：衣凤岐

报告时间：2025年4月19日9:30-10:30

主办：天津师范大学数学科学学院

报告地点：博B103

报告摘要:

In this talk, we will report our recent work on Turing instability of the Hopf bifurcating periodic solutions for the general 2-component reaction-diffusion system with nonlocal delays. To facilitate our needs for studying Turing instability of the periodic solutions for system with nonlocal delays, we first reduce the original system to the 4-component non-delayed reaction-diffusion system, and then use its Turing instability analysis to reflect that of the original system. This enables us to derive precise sufficient conditions in terms of the spatial dispersals to guarantee the occurrence of Turing instability the Hopf bifurcating periodic solutions. As an application, we apply our results to a reaction-diffusion competition model with intra-specific nonlocal delays.

报告人简介:

衣凤岐，男, 大连理工大学数学科学学院教授、博士生导师、应用数学研究所所长。主要从事微分方程与动力系统的研究，特别关注反应扩散系统的分支理论及其应用。2008年获哈尔滨工业大学基础数学专业博士学位。2010年博士学位论文获得全国优秀博士学位论文提名论文，2013年入选教育部新世纪优秀人才支持计划，2014年主持的科研项目获得黑龙江省科学技术奖二等奖，2020年入选大连市领军人才。主持国家自然科学基金面上项目多项。在J. Nonlinear Science, SIAM J. Appl. Math, J. Differ. Equations, Physica D等高水平杂志上发表论文20余篇。

欢迎广大师生参加！