报 告 人：王志安 教授 香港理工大学

报告时间：2019年6月14日下午15：30-16：30

报告地点：数学楼第一报告厅

报告摘要：

In this talk, we shall discuss the global dynamics of the Lotka-Volterra competition system with resource-dependent diffusion and advection where the resource is determined by a dynamics equation. As we know, such population model has been rarely considered before. We show that the system admits a unique classical solutions in two dimensions and the solutionwill converge to constant a semi-trivial steady state or coexistence steady state depending on the parameter values.

Our results indicate that "slower diffusion prevails" will not occur to the concerned model.

报告人简介：

王志安，香港理工大学教授。主要研究领域是生物数学的模型及其解法，已在J. Differential Equation、J. Mathematical Biology、Mathematical Models and

Methods in Applied Sciences、Nonlinearity、SIAM J. Applied Mathematics等国际知名数学杂志发表学术论文几十篇，SCI期刊DCDS-B编委。