KMS Of Academy of mathematics and systems sciences, CAS
| Permanence and extinction of periodic predator-prey systems in a patchy environment with delay | |
| Teng, ZD; Chen, LS | |
| 2003-06-01 | |
| Source Publication | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
 |
| ISSN | 1468-1218 |
| Volume | 4Issue:2Pages:335-364 |
| Abstract | This paper studies two species predator-prey Lotka-Volterra type dispersal systems with periodic coefficients and infinite delays, in which the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. Sufficient and necessary conditions of integrable form for the permanence, extinction and the existence of positive periodic solutions are established, respectively. Some well-known results on the nondelayed periodic predator-prey Lotka-Volterra type dispersal systems are improved and extended to the delayed case. (C) 2002 Elsevier Science Ltd. All rights reserved. |
| Keyword | Lotka-Volterra system dispersion delay predator-prey permanence extinction periodic solution |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000180147600010 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/18632 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Teng, ZD |
| Affiliation | 1.Xinjiang Univ, Dept Math, Urumqi 830046, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Teng, ZD,Chen, LS. Permanence and extinction of periodic predator-prey systems in a patchy environment with delay[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2003,4(2):335-364. |
| APA | Teng, ZD,&Chen, LS.(2003).Permanence and extinction of periodic predator-prey systems in a patchy environment with delay.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,4(2),335-364. |
| MLA | Teng, ZD,et al."Permanence and extinction of periodic predator-prey systems in a patchy environment with delay".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 4.2(2003):335-364. |
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