Doubly nonlocal Fisher-KPP equation: front propagation

被引：9

作者：

Finkelshtein, Dmitri ^{[1
]}

Kondratiev, Yuri ^{[2
]}

Tkachov, Pasha ^{[3
]}

机构：

[1] Swansea Univ, Dept Math, Swansea, W Glam, Wales

[2] Univ Bielefeld, Fak Math, Bielefeld, Germany

[3] Gran Sasso Sci Inst, Laquila, AQ, Italy

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 07期

关键词：

Nonlocal diffusion; Fisher-KPP equation; nonlocal nonlinearity; long-time behavior; front propagation; anisotropic kernels; integral equation; TRAVELING-WAVES; SPREADING SPEEDS; ANISOTROPIC DISPERSAL; PATTERN-FORMATION; POPULATION; UNIQUENESS; EXISTENCE;

D O I：

10.1080/00036811.2019.1643011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study propagation over of the solution to a doubly nonlocal reaction-diffusion equation of the Fisher-KPP-type with anisotropic kernels. We present both necessary and sufficient conditions which ensure linear in time propagation of the solution in a direction. For kernels with a finite exponential moment over we prove front propagation in all directions for a general class of initial conditions decaying in all directions faster than any exponential function (that includes, for the first time in the literature about the considered type of equations, compactly supported initial conditions).

引用

页码：1373 / 1396

页数：24

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[2]

[Anonymous], 1972, Advances in Applied Probability, DOI DOI 10.2307/1425997

[3]

[Anonymous], 2019, J DIFFERENTIAL EQUAT

[4]

[Anonymous], 2003, MATH BIOL 2 SPATIAL