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加拿大罗瑞尔大学陈玉明教授学术报告20250412
发布时间:2025-04-07 09:24  作者: 黄启华  初审:科研秘书  复审:唐宇  来源:本站原创  浏览次数:

加拿大罗瑞尔大学陈玉明教授学术报告

报告题目:Periodic dynamics of a reaction-diffusion-advection model with Michaelis-Menten type harvesting in heterogeneous environments

报告人:陈玉明 教授, 加拿大罗瑞尔大学

报告时间:2025412日上午900-10:00

报告地点: 腾讯会议:321-463-641

参加人员:教师、研究生、本科生

报告摘要: Aquatic organisms often confront the risk of extinction due to constant drift and overfishing. Can a reasonable fishing ban satisfy the human need for sufficient aquatic proteins without depleting fishery resources? In this talk, we propose a reaction-diffusion-advection model to answer this question. The model consists of two sub-equations, which are constantly switched to describe closed seasons and open seasons with Michaelis-Menten type harvesting. We define a threshold value for the duration of the fishing ban and establish the relationships between and each of the downstream end, the advection rate, and the diffusion rate. Under certain conditions, the trivial equilibrium point 0 is globally asymptotically stable if . When $, we obtain sufficient conditions on the existence of a globally asymptotically stable periodic solution based on the thresholds in all parameter settings. We also provide some discussions on our findings.

报告人简介: 陈玉明,分别于1991年和1994年从北京大学获应用数学学士学位和硕士学位,并于2000年从加拿大约克大学(York University)获理学博士学位,20009月至20016月在加拿大阿尔伯塔大学(University of Alberta)做博士后。从20017月起,一直任教于加拿大罗瑞尔大学(Wilfrid Laurier University)。现为该校数学系正教授、博士生导师。主要研究兴趣为动力系统和泛函微分方程理论及其在生物数学和神经网络中的应用。已在包括 SIAM Journal on Mathematical Analysis, Transactions on the American Mathematical Society, Nonlinearity, Journal of Differential Equations, Physica D, Proceedings of the American Mathematical Society Mathematical Biosciences, Neural Networks等国际著名刊物发表论文一百九十余篇,其成果被同行广泛引用。曾获安大略省科技与创新部早期研究者奖。主持了6项加拿大国家自然科学与工程理事会(NSERC)科研基金项目,参与了3项中国国家自然科学基金面上项目。积极参与高质量人才如硕士生、博士生、博士后的培养。与中国学者有广泛交流与合作。