Invasion traveling wave solutions of a competitive system with dispersal

doi:10.1186/1687-2770-2012-120

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	Invasion traveling wave solutions of a competitive system with dispersal
	Pan, Shuxia 1; Lin, Guo 2
刊名	BOUNDARY VALUE PROBLEMS
	2012
关键词	comparison principle asymptotic spreading upper and lower solutions invasion waves
ISSN号	1687-2770
DOI	10.1186/1687-2770-2012-120
英文摘要	This paper is concerned with the invasion traveling wave solutions of a Lotka-Volterra type competition system with nonlocal dispersal, the purpose of which is to formulate the dynamics between the resident and the invader. By constructing upper and lower solutions and passing to a limit function, the existence of traveling wave solutions is obtained if the wave speed is not less than a threshold. When the wave speed is smaller than the threshold, the nonexistence of invasion traveling wave solutions is proved by the theory of asymptotic spreading.
资助项目	FRFCU[lzujbky-2011-k27]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGEROPEN
WOS记录号	WOS:000317468800014
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/36077]
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,Lin, Guo. Invasion traveling wave solutions of a competitive system with dispersal[J]. BOUNDARY VALUE PROBLEMS,2012.
APA	Pan, Shuxia,&Lin, Guo.(2012).Invasion traveling wave solutions of a competitive system with dispersal.BOUNDARY VALUE PROBLEMS.
MLA	Pan, Shuxia,et al."Invasion traveling wave solutions of a competitive system with dispersal".BOUNDARY VALUE PROBLEMS (2012).