应兰州大学数学与统计学院林国教授邀请，上海理工大学理学院原三领教授将于2021年4月24日-25日与我校有关师生进行学术研讨，其中4月25日下午举行公开学术报告。

报告题目：Complex dynamics of a predator-prey system with herd and schooling behavior: with or without delay and diffusion

时 间：4月25日（星期日）下午16：00.

地点：理工楼631

欢迎广大师生光临!

报告摘要：This talk is mainly about the dynamics of a predator-prey system incorporating a new type functional response function accounting for both the herd behavior for prey and the schooling behavior for predator. In the absence of spatial diffusion and time delay, we investigate the existence of extinction region and the stability of all feasible nonnegative equilibria, obtain conditions under which the system undergoes saddle-node, Hopf and Bogdanov-Takens types of bifurcations. For the spatiotemporal system, we investigate the existence of Hopf bifurcation induced by time delay near one of the positive equilibria and derive conditions for determining the property of the bifurcating periodic solution by using the normal form theory and center manifold reduction. Further, we investigate the effects of time delay or/and diffusion on the dynamics of the system, and the results show that both time delay and spatial diffusion play significant roles in determining the dynamics of the system.

原三领教授简介

原三领，教授，博士生导师，上海理工大学应用数学学科负责人，中国数学会生物数学学会常务理事，美国《Mathematical Reviews》评论员。研究方向为：微分方程与动力系统、生物数学。曾先后主持4项国家自然科学基金面上项目、3项上海市教委项目的研究工作。研究内容涉及微分方程与动力系统、种群动力学、流行病动力学、海洋生态学以及生物化学工程等诸多领域，具有多学科交叉的特点。曾多次受邀到国内和国际多所高校进行合作研究和学术交流。已在Journal of Differential Equations、Journal of Mathematical Biology、Bulletin of Mathematical Biology、Journal of Theoretical Biology等国内外重要学术刊物上发表SCI论文90余篇。

甘肃省高校应用数学与复杂系统省级重点实验室

数学与统计学院

萃英学院

2021年4月22日