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

被引：23
|
作者：
Ducrot, Arnaud [1 ]
Guo, Jong-Shenq [2 ]
Lin, Guo [3 ]
Pan, Shuxia [4 ]
机构：
[1] Normandie Univ, UNIHAVRE, LMAH, ISCN,FR CNRS 3335, F-76600 Le Havre, France
[2] Tamkang Univ, Dept Math, 151 Yingzhuan Rd, New Taipei 25137, Taiwan
[3] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
[4] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 05期
关键词：
Predator-prey system; Spreading speed; Minimal speed; Nonlocal dispersal; REACTION-DIFFUSION SYSTEMS; MONOTONE SEMIFLOWS; TRAVELING-WAVES; EXISTENCE; FRONTS; SLOW;
D O I：
10.1007/s00033-019-1188-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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收藏
页数：25
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