Lotka-Volterra competition system with resource-dependent dispersals

讲座时间 Datetime: 

星期四, 2020/11/26 - 从 10:00 到 11:30

地点 Venue: 

腾讯会议 260 717 523

报告人 Speaker: 

王治安 副教授

单位 Affiliation: 

香港理工大学

报告摘要 Abstract: 

In this talk, we discuss the global boundedness and asymptotic stability of a Lotka-Volterra competition system in a two-dimensional bounded domain with Neumann boundary conditions, where the motility (diffusion and/or advection) of two competing species depends on the distribution of the resource that satisfies a dynamical reaction-diffusion equation. We first establish the existence of classical solution with uniform-in time bound. Then by constructing Lyapunov functionals, we establish the global stability of the spatially homogeneous exclusion steady states and coexistence steady states under certain conditions on parameters. Our result is a development of existing results where the resource is a given function of space or time instead of one determined by an evolutionary equation as considered in our present work.