Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay

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	Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay
	Song, XY ; Chen, LS
	1998-03-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	35 期号:6 页码:33-40
摘要	In this paper, a nonautonomous predator-prey model with diffusion and continuous time delay is studied, where all parameters are time-dependent. The system, which is composed of two Lotka-Volterra patches, has two species: one can diffuse between two patches, but the other is confined to one patch and cannot diffuse. It is proved that the system is uniformly persistent under appropriate conditions. Furthermore, sufficient conditions are established for global stability of the system.
关键词	diffusion time delay uniform persistence global asymptotic stability
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000072472900004
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13944
专题	中国科学院数学与系统科学研究院
通讯作者	Song, XY
作者单位	1.Xinyang Teachers Coll, Dept Math, Xinyang Henan 464000, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Song, XY,Chen, LS. Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,1998,35(6):33-40.
APA	Song, XY,&Chen, LS.(1998).Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay.COMPUTERS & MATHEMATICS WITH APPLICATIONS,35(6),33-40.
MLA	Song, XY,et al."Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay".COMPUTERS & MATHEMATICS WITH APPLICATIONS 35.6(1998):33-40.