Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays
文献类型：期刊论文
| 作者 | Meng, Xinzhu; Chen, Lansun |
| 刊名 | JOURNAL OF THEORETICAL BIOLOGY
 |
| 出版日期 | 2006-12-21 |
| 卷号 | 243期号:4页码:562-574 |
| 关键词 | time delay dispersion hull globally asymptotic stability almost periodic solution |
| ISSN号 | 0022-5193 |
| DOI | 10.1016/j.jtbi.2006.07.010 |
| 英文摘要 | This paper studies a non-autonomous Lotka-Volterra almost periodic predator-prey dispersal system with discrete and continuous time delays which consists of n-patches, the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. By using comparison theorem and delay differential equation basic theory, we prove the system is uniformly persistent under some appropriate conditions. Further, by constructing suitable Lyapunov functional, we show that the system is globally asymptotically stable under some appropriate conditions. By using almost periodic functional hull theory, we show that the almost periodic system has a unique globally asymptotical stable strictly positive almost periodic solution. The conditions for the permanence, global stability of system and the existence, uniqueness of positive almost periodic solution depend on delays, so, time delays are "profitless". Finally, conclusions and two particular cases are given. These results are basically an extension of the known results for non-autonomous Lotka-Volterra systems. (c) 2006 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000242769300010 |
| 出版者 | ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3371]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Meng, Xinzhu |
| 作者单位 | 1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Shandong Univ Sci & Technol, Fac Sci, Qingdao 266510, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Meng, Xinzhu,Chen, Lansun. Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays[J]. JOURNAL OF THEORETICAL BIOLOGY,2006,243(4):562-574. |
| APA | Meng, Xinzhu,&Chen, Lansun.(2006).Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays.JOURNAL OF THEORETICAL BIOLOGY,243(4),562-574. |
| MLA | Meng, Xinzhu,et al."Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays".JOURNAL OF THEORETICAL BIOLOGY 243.4(2006):562-574. |
入库方式： OAI收割
来源：数学与系统科学研究院
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