Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay
文献类型：期刊论文
| 作者 | Tang, Xianhua; Cao, Daomin ; Zou, Xingfu
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2006-09-15 |
| 卷号 | 228期号:2页码:580-610 |
| 关键词 | positive periodic solution Lotka-Volterra competition system Pure delay 3/2-type conditions global attractivity |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2006.06.007 |
| 英文摘要 | We consider a periodic Lotka-Volterra competition system without instantaneous negative feedbacks (i.e., pure-delay systems) x(i)(t) = x(i)(t)[r(i)(t) - Sigma(n)(j=1) a(ij)(t - tau(ij)(t))], i = 1,2,...,n. some 3/2-type criteria for global attractivity of a positive periodic solution of the system, which generalize the well-known Wright's 3/2 criteria for the autonomous delay logistic equation, and thereby, address the open problem proposed by both Kuang [Y. Kuang, Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria, Differential Integral Equations 9 (1996) 557-567] and Teng [Z. Teng, Nonautonomous Lotka-Volterra systems with delays, J. Differential Equations 179 (2002) 538-5611. (c) 2006 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000240802800007 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3800]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zou, Xingfu |
| 作者单位 | 1.Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China 3.Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, Xianhua,Cao, Daomin,Zou, Xingfu. Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,228(2):580-610. |
| APA | Tang, Xianhua,Cao, Daomin,&Zou, Xingfu.(2006).Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay.JOURNAL OF DIFFERENTIAL EQUATIONS,228(2),580-610. |
| MLA | Tang, Xianhua,et al."Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay".JOURNAL OF DIFFERENTIAL EQUATIONS 228.2(2006):580-610. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。