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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Finkelshtein, Dmitri¹  Kondratiev, Yuri²  Tkachov, Pasha³ 

[1] Swansea Univ, Dept Math, Fabian Way, Swansea SA1 8EN, W Glam, Wales

[2] Univ Bielefeld, Fak Math, Postfach 110 131, D-33501 Bielefeld, Germany

[3] Gran Sasso Sci Inst, Viale Francesco Crispi 7, I-67100 Laquila, AQ, Italy

关键词: Nonlocal diffusion;    Reaction-diffusion equation;    Fisher-KPP equation;    Traveling waves;    Minimal speed;    Nonlocal nonlinearity;   

DOI  :  10.1016/j.jmaa.2019.02.010

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free