报告题目：Dynamics of a diffusive system with Allee effect and threshold hunting

报告人:赵洪涌

报告时间：2023年9月16日15：00

报告地点：中西部综合楼639会议室

主办单位：理学院、科技处

报告人简介：

赵洪涌，四川大学理学博士，南京大学博士后.现为南京航空航天大学教授，博士生导师,九三学社社员.长期从事生物系统动力学、传染病动力学分析与控制、时滞微分方程动力学等研究.江苏省高校“青蓝工程”优秀青年骨干教师和中青年学术带头人. 2014年至2022年，连续九年入选爱思唯尔中国高被引学者榜单.获省自然科学优秀论文二等奖一项、江苏省教育科学研究成果二等奖一项、获南京航空航天大学“群星”创新奖一项. 2016年入选南京航空航天大学年度人物。

报告内容简介：

In this talk, we study a diffusive predator-prey system with the Allee effect and threshold hunting. First, the number of interior equilibrium points is determined by discussing the relation of parameters. Then, preliminary analysis on the local asymptotic stability and bifurcations of non-spatial system based on ordinary differential equations is presented. The stability of interior equilibrium points and the existence of Turing instability induced by the diffusion, spatially homogeneous and inhomogeneous Hopf bifurcation, Turing-Hopf bifurcation are studied. These results show that the Allee effect, threshold hunting and diffusion have significant impacts on the dynamics. Last, we present some numerical simulations that supplement the analytic results.