報告題目：Global dynamics of the Lotka-Volterra competition system with resource-dependent motion
報 告 人：王志安教授 香港理工大學
報告時間：2019年6月14日 下午15：30-16：30
報告地點：數學樓第一報告廳
報告摘要：
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.
報告人簡介：
王志安，香港理工大學教授。主要研究領域是生物數學的模型及其解法，已在J. Differential Equation、J. Mathematical Biology、Mathematical Models and
Methods in Applied Sciences、Nonlinearity、SIAM J. Applied Mathematics等國際知名數學雜志發表學術論文幾十篇，SCI期刊DCDS-B編委。
