The spreading speed and the minimal wave speed of a predator–prey system with nonlocal dispersal

被引：1

作者：

Arnaud Ducrot

Jong-Shenq Guo

Guo Lin

Shuxia Pan

机构：

[1] Normandie Univ,Department of Mathematics

[2] UNIHAVRE,School of Mathematics and Statistics

[3] LMAH,School of Science

[4] FR-CNRS-3335,undefined

[5] ISCN,undefined

[6] Tamkang University,undefined

[7] Lanzhou University,undefined

[8] Lanzhou University of Technology,undefined

来源：

Zeitschrift für angewandte Mathematik und Physik | 2019年 / 70卷

关键词：

Predator–prey system; Spreading speed; Minimal speed; Nonlocal dispersal; 35K57; 37C65; 92D25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is concerned with the propagation dynamics of a predator–prey system with nonlocal dispersal. We obtain a threshold phenomenon for the invasion of the predator into the habitat of the aborigine prey. It turns out that this threshold is the so-called spreading speed of the predator as well as the minimal wave speed of traveling wave solutions connecting the predator-free state to a nontrivial state.

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