Heterogeneity and strong competition in ecology
Analysis of PDEs
2017-10-20 v2
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.
Keywords
Cite
@article{arxiv.1710.06116,
title = {Heterogeneity and strong competition in ecology},
author = {Harsha Hutridurga and Chandrasekhar Venkataraman},
journal= {arXiv preprint arXiv:1710.06116},
year = {2017}
}
Comments
24 pages, 5 figures