Traveling wave solutions in a Lotka-Volterra type competition recursion

doi:10.1186/1687-1847-2014-173

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	Traveling wave solutions in a Lotka-Volterra type competition recursion
	Pan, Shuxia 1; Yang, Pan 2
刊名	ADVANCES IN DIFFERENCE EQUATIONS
	2014-07-18
关键词	competitive interaction spreading speed invasion and coexistence
ISSN号	1687-1847
DOI	10.1186/1687-1847-2014-173
英文摘要	This paper is concerned with the traveling wave solutions of a competitive integrodifference system with Lotka-Volterra type nonlinearity. The existence of traveling wave solutions is proved by constructing generalized upper and lower solutions. The asymptotic behavior of traveling wave solutions is established by combining the theory of asymptotic spreading with the idea of contracting rectangles. The nonexistence of monotone traveling wave solutions is also confirmed by the theory of asymptotic spreading.
资助项目	National Undergraduate Training Programs for Innovation and Entrepreneurship[201310730086]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
WOS记录号	WOS:000342154200001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/34322]
专题	理学院材料科学与工程学院
通讯作者	Pan, Shuxia
作者单位	1.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Pan, Shuxia,Yang, Pan. Traveling wave solutions in a Lotka-Volterra type competition recursion[J]. ADVANCES IN DIFFERENCE EQUATIONS,2014.
APA	Pan, Shuxia,&Yang, Pan.(2014).Traveling wave solutions in a Lotka-Volterra type competition recursion.ADVANCES IN DIFFERENCE EQUATIONS.
MLA	Pan, Shuxia,et al."Traveling wave solutions in a Lotka-Volterra type competition recursion".ADVANCES IN DIFFERENCE EQUATIONS (2014).