鱼虾蟹游戏

题    目：Periodic dynamics of a reaction-diffusion switching fish model with linear harvesting rate

主讲人：陈玉明  教授

单    位：加拿大罗瑞尔大学

时    间：2026年6月7日  9:30

地    点：鱼虾蟹游戏 一楼报告厅

摘    要：Under the combined effects of ecological mechanisms (such as predation, resource limitations, and competition), fish populations can exhibit multiple stable states. Overfishing increases the vulnerability of fish populations, making them prone to shift from a high-density stable state to a low-density one, and in some cases, leading to the risk of extinction. In this context, developing effective closed fishing season policies to ensure the sustainable development of fisheries resources has become a pressing issue. In this talk, we consider a reaction-diffusion switching model consisting of two sub-equations with multiple stable states and a linear harvesting rate to describe the continuous alternations between closed and open fishing seasons. Sufficient conditions on the existence of a globally asymptotic stable periodic solution and on extinction of the population are presented. The findings are further discussed and illustrated with numerical simulations.

简    介：陈玉明，分别于1991年和1994年在北京大学取得应用数学学士、硕士学位，2000年获加拿大约克大学（York University）理学博士；2000.9—2001.6在加拿大阿尔伯塔大学（University of Alberta）从事博士后研究，2001年7月至今任职于加拿大罗瑞尔大学(Wilfrid Laurier University)数学系，现任正教授、博士生导师。 主要研究方向：动力系统、泛函微分方程理论及其在生物数学、神经网络领域的应用。已在SIAM Journal on Mathematical Analysis、SIAM Journal on Applied Mathematics、Transactions on the American Mathematical Society、Nonlinearity、Journal of Differential Equations、Physica D、Mathematical Biosciences、Neural Networks等国际权威SCI期刊发表学术论文200余篇，成果被国内外同行大量引用；曾获加拿大安大略省科技与创新部早期研究者奖。先后主持6项加拿大国家自然科学与工程理事会(NSERC)科研项目，参与4项中国国家自然科学基金面上项目；长期指导硕博士与博士后，同国内多所高校学者保持常态化学术合作与交流。