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Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
Xu, R; Chen, LS
2000-08-01
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
Volume40Issue:4-5Pages:577-588
AbstractA two-species ratio-dependent predator-prey diffusion model with time delay is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the local and global stability of the positive equilibrium of the system. (C) 2000 Elsevier Science Ltd. All rights reserved.
Keywordtime delay diffusion uniform persistence global asymptotic stability
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000088266600012
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:59[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15214
Collection中国科学院数学与系统科学研究院
Affiliation1.Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China
2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Xu, R,Chen, LS. Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2000,40(4-5):577-588.
APA Xu, R,&Chen, LS.(2000).Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment.COMPUTERS & MATHEMATICS WITH APPLICATIONS,40(4-5),577-588.
MLA Xu, R,et al."Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment".COMPUTERS & MATHEMATICS WITH APPLICATIONS 40.4-5(2000):577-588.
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