Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays
文献类型：期刊论文
| 作者 | Xu, R; Chaplain, MAJ; Chen, LS |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2002-08-15 |
| 卷号 | 130期号:2-3页码:295-309 |
| 关键词 | nonautonomous Lotka-Volterra competitive system infinite delay global asymptotic stability Lyapunov functional |
| ISSN号 | 0096-3003 |
| 英文摘要 | By means of Lyapunov functional, we have succeeded in establishing the global asymptotic stability of the positive solutions of a delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedbacks. As a corollary, we show that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the mean delays are sufficiently small. (C) 2002 Elsevier Science Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000176782200008 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17486]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, R |
| 作者单位 | 1.Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China 2.Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, R,Chaplain, MAJ,Chen, LS. Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays[J]. APPLIED MATHEMATICS AND COMPUTATION,2002,130(2-3):295-309. |
| APA | Xu, R,Chaplain, MAJ,&Chen, LS.(2002).Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays.APPLIED MATHEMATICS AND COMPUTATION,130(2-3),295-309. |
| MLA | Xu, R,et al."Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays".APPLIED MATHEMATICS AND COMPUTATION 130.2-3(2002):295-309. |
入库方式： OAI收割
来源：数学与系统科学研究院
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