讲座题目: Global dynamics for some food chain models with taxis mechanism

讲座摘要: Compared with the existing well-known results on the ODE type food chain systems, few results are known for the food chain model with taxis mechanism. In this talk, we first establish the existence of global classical solution for some food chain models with various type of taxis (e.g. prey-taxis and alarm-taxis ) by using the appropriately respect the particular structure and energy estimates. Moreover, by constructing Lyapunov functionals, we also establish the global stability of the spatially homogeneous steady state under certain conditions. With numerical simulations, we further demonstrate that spatio-temporal patterns are possible for the parameters outside the stability regime.

讲座时间：2022年9月30日（周五）上午10:30

讲座方式：线上开展（腾讯会议，会议号：687 877 679）

嘉宾简介：金海洋，华南理工大学数学学院教授，博士生导师。2011-2014就读于香港理工大学应用数学系并获得博士学位。目前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SIAP, M3AS, JDE, Nonlinearity, EJAM 等期刊发表SCI论文20余篇。