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Travelling waves for diffusive and strongly competitive systems: Relative motility and invasion speed

Published online by Cambridge University Press:  08 May 2015

LÉO GIRARDIN  and
GRÉGOIRE NADIN
LÉO GIRARDIN
Affiliation:
École Normale Supérieure de Cachan, France email: leo.girardin@ens-cachan.fr
GRÉGOIRE NADIN
Affiliation:
Laboratoire Jacques-Louis Lions, CNRS, Université Paris 6, France email: nadin@ann.jussieu.fr
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Abstract

Our interest here is to find the invader in a two species, diffusive and competitive Lotka–Volterra system in the particular case of travelling wave solutions. We investigate the role of diffusion in homogeneous domains. We might expect a priori two different cases: strong interspecific competition and weak interspecific competition. In this paper, we study the first one and obtain a clear conclusion: the invading species is, up to a fixed multiplicative constant, the more diffusive one.

Keywords

travelling wavesreaction-diffusion systemwave speedcompetitionsegregation phenomena
Type
Papers
Information
European Journal of Applied Mathematics , Volume 26 , Issue 4 , August 2015 , pp. 521 - 534
Copyright
Copyright © Cambridge University Press 2015 

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