Dynamics of Interfaces in Competition-Diffusion Systems


This paper is concerned with the dynamics of interfaces in the Lotka-Volterra competition-diffusion system u ,2Au + u(1 u cw), w 2DAw + w(a bu w), in Rn, where > 0 is a small parameter and D > 0 is a constant. If 0 < 1/c < a < b, this system has two locally stable equilibria, (u,w)= (1,0) and (0, a). In this case, interfaces may appear that separate R into… (More)
DOI: 10.1137/S0036139993247343


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