讲座内容简介：In this talk, we consider the initial-boundary value problem of a food chain model with cross-diffusionin a bounded domain with smooth boundary and homogeneous Neumann boundary conditions in two dimensional spaces. By the delicate coupling energy estimates, we first establish the global existence of classical solution in two dimensional spaces for appropriate initial data. Moreover by constructing Lyapunov functionals and using LaSalle's invariance principle, we establish the global stability of prey-only steady states, semi-coexistence and coexistence steady states.

讲座人简介：金海洋，华南理工大学数学学院教授，广东省杰出青年基金获得者。2014年在香港理工大学获得博士学位。研究方向主要生物趋向性运动相关理论及其应用。近年来先后在SIAP,M3AS, JDE, Nonlinearity, EJAM等具有高水平学术期刊发表SCI论文20余篇，被同行引用500余次,现主持国家自然科学基金项目面上项目一项。