Super-linear spreading in local bistable cane toads equations
Bouin, Emeric; Henderson, Christopher (2017), Super-linear spreading in local bistable cane toads equations, Nonlinearity, 30, 4, p. n°1356. 10.1088/1361-6544/aa5d65
Type
Article accepté pour publication ou publiéExternal document link
https://hal.archives-ouvertes.fr/hal-01293988Date
2017Journal name
NonlinearityVolume
30Number
4Publisher
IOP Publishing
Pages
n°1356
Publication identifier
Metadata
Show full item recordAbstract (EN)
In this paper, we study the influence of an Allee effect on the spreading rate in a local reaction-diffusion-mutation equation modelling the invasion of cane toads in Australia. We are, in particular, concerned with the case when the diffusivity can take unbounded values. We show that the acceleration feature that arises in this model with a Fisher-KPP, or monostable, non-linearity still occurs when this non-linearity is instead bistable, despite the fact that this kills the small populations. This is in stark contrast to the work of Alfaro, Gui-Huan, and Mellet-Roquejoffre-Sire in related models, where the change to a bistable non-linearity prevents acceleration.Subjects / Keywords
PDERelated items
Showing items related by title and author.
-
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya (2017) Article accepté pour publication ou publié
-
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya (2017) Article accepté pour publication ou publié
-
Bouin, Emeric; Chan, Matthew H.; Henderson, Christopher; Kim, Peter S. (2018) Article accepté pour publication ou publié
-
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya (2020) Article accepté pour publication ou publié
-
Bouin, Emeric; Garnier, Jimmy; Henderson, Christopher; Patout, Florian (2018) Article accepté pour publication ou publié