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

doi:10.1007/s00033-019-1188-x

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	The spreading speed and the minimal wave speed of a predator–prey system with nonlocal dispersal
	Ducrot, Arnaud 4; Guo, Jong-Shenq 2; Lin, Guo 3; Pan, Shuxia 1
刊名	Zeitschrift fur Angewandte Mathematik und Physik
	2019-10-01
卷号	70 期号:5
关键词	Speed Free state Minimal speed Minimal wave speed Nonlocal dispersal Propagation dynamics Spreading speed Threshold phenomena Traveling wave solution
ISSN号	00442275
DOI	10.1007/s00033-019-1188-x
英文摘要	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. © 2019, Springer Nature Switzerland AG.
WOS研究方向	Mathematics
语种	英语
出版者	Birkhauser Verlag AG
WOS记录号	WOS:000483743900002
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/114826]
专题	理学院
作者单位	1.School of Science, Lanzhou University of Technology, Lanzhou; Gansu; 730050, China 2.Department of Mathematics, Tamkang University, 151, Yingzhuan Road, Tamsui, New Taipei City; 25137, Taiwan; 3.School of Mathematics and Statistics, Lanzhou University, Lanzhou; Gansu; 730000, China; 4.Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, Le Havre; 76600, France;
推荐引用方式 GB/T 7714	Ducrot, Arnaud,Guo, Jong-Shenq,Lin, Guo,et al. The spreading speed and the minimal wave speed of a predator–prey system with nonlocal dispersal[J]. Zeitschrift fur Angewandte Mathematik und Physik,2019,70(5).
APA	Ducrot, Arnaud,Guo, Jong-Shenq,Lin, Guo,&Pan, Shuxia.(2019).The spreading speed and the minimal wave speed of a predator–prey system with nonlocal dispersal.Zeitschrift fur Angewandte Mathematik und Physik,70(5).
MLA	Ducrot, Arnaud,et al."The spreading speed and the minimal wave speed of a predator–prey system with nonlocal dispersal".Zeitschrift fur Angewandte Mathematik und Physik 70.5(2019).