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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