A Liouville-type result for non-cooperative Fisher--KPP systems and nonlocal equations in cylinders
Langue
en
Article de revue
Ce document a été publié dans
Acta Applicandae Mathematicae. 2020, vol. 170, p. 123-139
Springer Verlag
Résumé en anglais
We address the uniqueness of the nonzero stationary state for a reaction-diffusion system of Fisher-KPP type that does not satisfy the comparison principle. Although the uniqueness is false in general, it turns out to be ...Lire la suite >
We address the uniqueness of the nonzero stationary state for a reaction-diffusion system of Fisher-KPP type that does not satisfy the comparison principle. Although the uniqueness is false in general, it turns out to be true under biologically natural assumptions on the parameters. This Liouville-type result is then used to characterize the wake of traveling waves. All results are extended to an analogous nonlocal reaction-diffusion equation that contains as a particular case the cane toads equation with bounded traits.< Réduire
Mots clés en anglais
KPP nonlinearity
reaction--diffusion system
cane toads equation
Liouville-type result
traveling wave
Project ANR
Phénomènes de propagation et équations non locales - ANR-14-CE25-0013
LabEx Mathématique Hadamard - ANR-11-LABX-0056
LabEx Mathématique Hadamard - ANR-11-LABX-0056
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