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Doubly nonlocal Fisher–KPP equation: Speeds and uniqueness of traveling waves

Dmitri Finkelshtein Orcid Logo, Yuri Kondratiev, Pasha Tkachov

Journal of Mathematical Analysis and Applications, Volume: 475, Issue: 1, Pages: 94 - 122

Swansea University Author: Dmitri Finkelshtein Orcid Logo

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DOI (Published version): 10.1016/j.jmaa.2019.02.010

Abstract

We study traveling waves for a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions. We describe relations between speeds and asymptotic of profiles of traveling waves, and prove the uniqueness of the profiles up to...

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Published in: Journal of Mathematical Analysis and Applications
ISSN: 0022-247X
Published: Elsevier BV 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa48668
Abstract: We study traveling waves for a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions. We describe relations between speeds and asymptotic of profiles of traveling waves, and prove the uniqueness of the profiles up to shifts.
Keywords: nonlocal diffusion, reaction-diffusion equation, Fisher-KPP equation, traveling waves, minimal speed, nonlocal nonlinearity
College: Faculty of Science and Engineering
Issue: 1
Start Page: 94
End Page: 122

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