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ecology and invasion

European Journal of Applied Mathematics (1)

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1 results

Heterogeneity and strong competition in ecology
H. HUTRIDURGA, C. VENKATARAMAN
Journal:

European Journal of Applied Mathematics / Volume 30 / Issue 4 / August 2019

Published online by Cambridge University Press:

25 June 2018, pp. 682-706
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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 in motilities are detrimental to invasion behaviour of a species.