Concentration Phenomena of a Semilinear Elliptic Equation with Large Advection in an Ecological Model

King-Yeung Lam
Arxiv ID: 1003.5632Last updated: 4/20/2020
We consider a reaction-diffusion-advection equation arising from a biological model of migrating species. The qualitative properties of the globally attracting solution are studied and in some cases the limiting profile is determined. In particular, a conjecture of Cantrell, Cosner and Lou on concentration phenomena is resolved under mild conditions. Applications to a related parabolic competition system is also discussed.

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