报告题目：Global dynamics of a class of delayed differential systems with spatial non-locality

报告人：郭志明教授，广州大学

报告时间：2023年5月5日8:00-9:00

报告方式：腾讯会议，会议号：296-716-604

报告摘要：In this talk, we will study the global dynamics of a class of delayed differential systems with spatial non-locality. We focus on three cases: quasimonotone nondecreasing case, mixed quasimonotone case and non-quasimonotone case. For the quasimonotone nondecreasing case, by using the extended maximum principle and the method of upper and lower solutions, we obtain certain monotonicity of maximal and minimal solutions and the global attractivity of steady states. For the mixed quasimonotone case, by using the technique of introducing appropriate relaxation variables, we obtained some sufficient conditions which ensure the convergence of time-dependent solutions to a steady-state solution. For the non-quasimonotone case, by introducing some appropriate relaxation variables and employing the results for mixed quasimonotone case, we obtain some sufficient conditions which ensure the convergence of time-dependent solutions to a steady-state solution. As far as we know, this is the first attempt to study the non-quasimonotone case by using the above approach.

报告人简介：郭志明，广州大学数学与信息科学学院二级教授、博士生导师。2001年博士毕业于中山大学，2009年在加拿大西安大略大学访问一年。多年来一直从事离散系统、泛函微分方程及生物数学模型的理论与应用研究，在JDE、J. London Math. Soc.、JDDE、JMB、《中国科学》等国际国内重要刊物上发表论文80多篇，其中SCI收录60多篇。先后主持国家自然科学基金面上项目4项、参加国家自然科学基金重点项目1项。获得2021年度广东省自然科学奖一等奖（排名第二）。

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