Consider a situation where spatial heterogeneity leads to a dine, a gradual transition in dominance of two competing species. We first prove, in the context of a simplified competition-diffusion model, that there exists a stationary solution showing that the two species coexist in a transition zone. What happens then if, owing to climate change, the environmental profile moves with constant speed in space? We show here that, when the speed with which the environmental condition shifts exceeds the Fisher invasion speed of the advancing species, an expanding gap will form. We raise the question of whether such a phenomenon has been or can be observed. (C) 2014 Published by Elsevier B.V.
[Berestycki, Henri] Ecole Hautes Etud Sci Sociales, CNRS, UMR 8557, Ctr Anal & Mathemat Sociales, F-75244 Paris 13, France; [Desvillettes, Laurent] ENS Cachan, CNRS, CMLA, F-94230 Cachan, France; [Diekmann, Odo] Univ Utrecht, Dept Math, NL-3508 TA Utrecht, Netherlands
Berestycki, H (reprint author), Ecole Hautes Etud Sci Sociales, CNRS, UMR 8557, Ctr Anal & Mathemat Sociales, Ave France, F-75244 Paris 13, France.
- Centre d'analyses et de mathématiques sociales (CAMS), UMR8557
- Centre de mathématiques et de leurs applications (CMLA), UMR8536