主讲人：宋新宇  中国林科院教授

时间：2020年11月6日9：00

地点：腾讯会议 422 305 100

举办单位：数理学院

主讲人介绍：宋新宇，教授，中国林科院博士生导师，河南省特聘教授，河南省科技创新杰出人才，河南省种群生态模拟与控制院士工作站负责人，中国数学会生物数学专业委员会常务理事，《International  Journal of  Biomathematics》编委。2017年获第八届梁希林业科学技术一等奖、中国林科院重大科技成果奖，2020年获河南省自然科学二等奖，曾获全国优秀教师、河南省留学回国人员先进个人和享受河南省政府特殊津贴专家等荣誉称号。主要从事微分方程及应用研究，在SIAM  Journal on Applied Mathematics, Bulletin of Mathematical Biolog，Journal of  Theoretical Biology, Mathematical Biosciences 等期刊发表论文130余篇；主持国家自然科学基金面上项目6项。  2014-2019连续六年入选Elsevier中国高被引学者榜单。

内容介绍：In this talk, mathematical models for the management of biological resources  based on a given predator-prey relationship are proposed, and two types of  control strategies unilateral and bilateral control with impulsive state  feedback are studied. The existence of the order-1 homoclinic orbit, order-1  periodic solution and bifurcation of homoclinic of the unilateral control system  is obtained, and the attraction region of this system is also discussed.  Besides, sufficient conditions for the existence and stability of the order-1  and order-2 periodic solution of the bilateral control system are also gained.  Series of numerical simulations including bifurcation diagrams of periodic  solution are performed, which not only verify the theoretical results we get but  also reveal some peculiar dynamical phenomenons, such as the appearance of high  order periodic solutions and existence of parameter intervals with drastic order  change of periodic solution. By comparing the two management strategies, our  study encourages bilateral control rather than unilateral control for the risk  of predator extinction.