Heterogeneity and strong competition in ecology

2017/10/17 by Hutridurga, Harsha, Venkataraman, Chandrasekhar
#35B27 #80A22 #92D40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.06116

Abstract

We study a competition-diffusion model while performing simultaneous homogenization and strong competition limits. The limit problem is shown to be a Stefan type evolution equation with effective coefficients. We also perform some numerical simulations in one and two spatial dimensions that suggest that oscillations are detrimental to invasion behaviour of the species.

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