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Chueh-Hsin Chang

2011-10-07
13:30:00 - 15:00:00

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

The existence of a travelling wave solution of the 3-species Lotka-Volterra competition-diffusion system is established. A travelling wave solution can be considered as a heteroclinic orbit of a vector field in \mathbb{R}^6. Under suitable assumptions on the parameters of the equations, we apply a bifurcation theory of heteroclinic orbits to show that a 3-species travelling wave can bifurcate from two 2- species waves which connect to a common equilibrium.