Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays
文献类型：期刊论文
| 作者 | Xu, R; Chen, LS; Hao, FL |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2005-12-01 |
| 卷号 | 171期号:1页码:511-530 |
| 关键词 | food chain delay periodic solution Lyapunov functional global stability |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2005.01.067 |
| 英文摘要 | An n-species periodic Lotka-Volterra type simple food-chain model with time delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing Suitable Lyapunov functionals, sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the model. Numerical simulations are presented to illustrate our main results. (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000234583800034 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2246]  |
| 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.Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, R,Chen, LS,Hao, FL. Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,171(1):511-530. |
| APA | Xu, R,Chen, LS,&Hao, FL.(2005).Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays.APPLIED MATHEMATICS AND COMPUTATION,171(1),511-530. |
| MLA | Xu, R,et al."Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays".APPLIED MATHEMATICS AND COMPUTATION 171.1(2005):511-530. |
入库方式： OAI收割
来源：数学与系统科学研究院
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