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数学学院、所2019年系列学术活动(第78场):王志安 教授 香港理工大学

发表于: 2019-05-30 14:56  点击:

报告题目:Global dynamics of the Lotka-Volterra competition system with resource-dependent motion

报 告 人:王志安教授 香港理工大学
报告时间:2019614日 下午1530-1630
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 EquationJ. Mathematical BiologyMathematical  Models  and

Methods in Applied SciencesNonlinearitySIAM 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。