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On a non-local equation arising in population dynamics

Published in Proceedings of the Royal Society of Edinburgh Section A Mathematics • Jul 23, 2007
Authors:
Jérôme Coville
,
Louis Dupaigne

Abstract

We study a one-dimensional non-local variant of Fisher's equation describing the spatial spread of a mutant in a given population, and its generalization to the so-called monostable nonlinearity. The dispersion of the genetic characters is assumed to follow a non-local diffusion law modelled by a co...

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