Convergence and Traveling Wave Solutions for a Predator-Prey System with Distributed Delays

doi:10.1007/s00009-017-0905-y

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	Convergence and Traveling Wave Solutions for a Predator-Prey System with Distributed Delays
	Pan, Shuxia
刊名	MEDITERRANEAN JOURNAL OF MATHEMATICS
	2017-06
卷号	14 期号:3
关键词	contracting rectangle generalized upper and lower solutions asymptotic behavior
ISSN号	1660-5446
DOI	10.1007/s00009-017-0905-y
英文摘要	This paper is concerned with the dynamics of a predator-prey system with distributed delays. The convergence of the corresponding functional differential system is proved by contracting rectangle, which also implies the convergence of the corresponding partial functional differential system when the spatial domain is smooth and the boundary condition is of Neumann. When the spatial domain is R, the minimal wave speed is obtained by presenting the existence and nonexistence of traveling wave solutions. It should be noted that this system does not satisfy comparison principle appealing to general predator-prey system due to time delay.
资助项目	NSF of China[11461040][11471149]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER BASEL AG
WOS记录号	WOS:000403338100004
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/33246]
专题	理学院
通讯作者	Pan, Shuxia
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Pan, Shuxia. Convergence and Traveling Wave Solutions for a Predator-Prey System with Distributed Delays[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS,2017,14(3).
APA	Pan, Shuxia.(2017).Convergence and Traveling Wave Solutions for a Predator-Prey System with Distributed Delays.MEDITERRANEAN JOURNAL OF MATHEMATICS,14(3).
MLA	Pan, Shuxia."Convergence and Traveling Wave Solutions for a Predator-Prey System with Distributed Delays".MEDITERRANEAN JOURNAL OF MATHEMATICS 14.3(2017).