报告人：陈玉明教授（Wilfrid Laurier University）

时间：2026年5月29日星期五上午10:00 -11:30

地点：数理楼245教室

题目：Periodic dynamics of a reaction-diffusion switching fishmodel with linear harvesting rate

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 model consisting of two sub-equations with multiple stable states and a linear harvesting rate to describe the continuous switching between closed and open fishing seasons. There is a threshold valueT∗for theduration of the fishing ban (T). WhenT ≤ T∗, the trivial stable state is globally asymptotically stable. With the assistance of the comparison theorem, under certain conditions, whenT > T∗, sufficient conditions on the existence of a globally asymptotically stable periodic solution are provided. The findings are further discussed and illustrated with numerical simulations.

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，2000年9月至2001年6月在加拿大阿尔伯塔大学（University of Alberta）做博士后。从2001年7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, SIAM Journal on Applied Mathematics, 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两百余篇，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4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。陈教授与中国学者有广泛交流与合作。