講座題目： Global dynamics of a spatial three-species food chain model

講座時間：2022年6月12日上午8:30--10:00

地點：騰訊會議 ID: 878-863-982

報告人：金海洋 教授

講座內(nèi)容簡介：In this talk, we consider the initial-boundary value problem of a food chain model with cross-diffusion in 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.

講座人簡介：

金海洋，華南理工大學(xué)數(shù)學(xué)學(xué)院教授，廣東省杰出青年基金獲得者。2014年在香港理工大學(xué)獲得博士學(xué)位。研究方向主要生物趨向性運動相關(guān)理論及其應(yīng)用。近年來先后在SIAP, M3AS, JDE, Nonlinearity, EJAM 等具有高水平學(xué)術(shù)期刊發(fā)表論文20余篇，被同行引用500余次, 現(xiàn)主持國家自然科學(xué)基金項目面上項目一項。