报告题目： Global dynamics of a three-species Lotka-Volterra food chain model with intraguild predation and taxis mechanisms
报 告 人：金海洋 教授 华南理工大学
报告时间：2023年10月11日 9:30-10:30
报告地点：腾讯会议 ID：380-567-695
或点击链接直接加入会议：https://meeting.tencent.com/dm/ggBNpB31ZGR8
校内联系人：刘长春 liucc@jlu.edu.cn
报告摘要：In this talk, we study a three species food chain model with intraguild predation and taxis mechanisms (prey-taxis and alarm-taxis) in a bounded domain with smooth boundary. Based on energy estimates, we first establish the existence of global classical solutions with uniform-in-time bound. Moreover, we build the global stabilization of the spatially homogeneous prey-only steady states, semi-coexistence and coexistence steady states under certain conditions on parameters by using the Lyapunov functionals and LaSalle’s invariant principle. With numerical simulations, we further demonstrate that the combination of taxis mechanisms and intraguild predation can produce stationary spatially inhomogeneous patterns, chaotic spatio-temporal patterns and spatial-periodic patterns for the parameters outside the stability regime. We also find from numerical simulations that prey-taxis could destabilize a positive equilibrium in a three-species Lotka-Volterra model with intraguild predation, which in contrast to the well-known results that the attractive prey-taxis serves to enhance the stability of the spatially homogeneous steady state in two species predator-system or three species food chain model without intraguild predation.
报告人简介：金海洋，华南理工大学教授，博士生导师。主要从事生物趋向性运动相关数学模型的理论分析。近年来先后在SIAM J. Math. Anal., SIAM J. Appl. Math., M3AS, JDE, Nonlinearity, European J. Appl. Math. 等期刊发表SCI论文几十篇，主持国家自然科学基金项目面上项目和青年基金等项目。
