In this presentation, we explore the potential bifurcations in a diffusive predator-prey model incorporating discontinuous harvesting. Specifically, we delve into the existence of sliding mode and examine various types of sliding mode bifurcations, including boundary node, grazing, buckling, and crossing bifurcations. To illustrate our findings, we utilize numerical simulations, which showcase how the system can develop diverse spatial patterns based on factors such as the harvesting threshold, cost of fear, and initial conditions.

报告人简介：

袁沅， 1984 年于武汉大学获得学士学位，1988 年于中南大学获得硕士学位，2002 年于加拿大西安大略大学（University of Western Ontario）获得博士学位。2002 年荣获NSERC（加拿大国家自然科学基金）资助在滑铁卢大学(University of Waterloo)做短暂博士后研究，随后于2002 年9 月起受聘于加拿大纽芬兰纪念大学（Memorial University of Newfoundland）至今，现为该校数学与统计系终身正教授和博士生导师。

袁教授主要研究方向包括非线性动力系统的稳定性及分支分析、时滞微分方程及其在神经网络和生物数学等的应用、微分方程的符号及数值计算方法。现已在SIAM Journal of Applied Mathematics, Journal of Mathematical Biology, Journal of Mathematical Analysis and Applications, Journal of Differential Equations, Nonlinear Analysis: Real World Applications,SIAM Journal on Applied Dynamical Systems 等主要应用数学及生物数学杂志发表论文近六十篇。研究成果深受同行好评及引用，研究一直受到加拿大国家自然科学基金的资助。与中国多所高校同行有科研合作。