Seminars

Global Dynamics of Heterogeneous Lotka-Volterra Competition-Diffusion Systems

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Seminars

Xiaoqing He

2013-11-05
15:30:00 - 17:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

In 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.