广州数学大讲坛第十二期
第一百一十七讲——华南理工大学金海洋教授学术报告
题目：Predator-prey systems with taxis mechanisms
时间：2023年12月26日（周二）下午15:30——17:00
地点：理学实验楼314
报告人：金海洋教授
摘要：Compared with the existing well-known results on ODE type predator-prey systems, few results are known for the predator-prey systems with taxis mechanisms. In this talk, we first establish the existence of global classical solution for some predator-prey models with various type of taxis (e.g. prey-taxis and alarm-taxis) by using 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 the spatio-temporal patterns are possible for the parameters outside the stability regime.
