95
reads

Chueh-Hsin Chang

2012-02-17
14:00:00 - 14:40:00

R101 , Astronomy and Mathematics Building

The existence of a travelling wave solutions 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 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. The three components of the 3-species wave obtained are positive and have the profiles that one component connects a positive state to zero, one component connects zero to a positive state, and the third component is a pulse between the previous two with a long middle part close to a positive constant.

For material related to this talk, click here.