ncku-talk2013-12-19

NCTS(South)/ NCKU Math Colloquium

DATE 2013-12-19　16:10-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER 何小清教授（新竹理論中心）

TITLE Global Dynamics of a Heterogeneous Lotka-Volterra Competition-Diffusion System

ABSTRACT This talk, we will discuss the joint effects of diffusion and spatial variation on the global dynamics of a classical Lotka-Volterra competition system. We establish the global asymptotic stability of semi-trivial as well as co-existence steady states. Hence a complete understanding of the change in its dynamics is obtained, and various special cases will be discussed to illustrate the understandings. For instance, our results indicate that the species with ``a larger spatial concentration'' in its distribution of resources has a greater likelihood to eliminate its competitor in terms of the range of dispersal rates.

NCTS(South)/ NCKU Math Colloquium

DATE	2013-12-19　16:10-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	何小清教授（新竹理論中心）

TITLE	Global Dynamics of a Heterogeneous Lotka-Volterra Competition-Diffusion System

ABSTRACT	This talk, we will discuss the joint effects of diffusion and spatial variation on the global dynamics of a classical Lotka-Volterra competition system. We establish the global asymptotic stability of semi-trivial as well as co-existence steady states. Hence a complete understanding of the change in its dynamics is obtained, and various special cases will be discussed to illustrate the understandings. For instance, our results indicate that the species with ``a larger spatial concentration'' in its distribution of resources has a greater likelihood to eliminate its competitor in terms of the range of dispersal rates.