Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion
文献类型：期刊论文
| 作者 | Meng, Xinzhu; Xu, Weijian; Chen, Lansun |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2007-05-01 |
| 卷号 | 188期号:1页码:365-378 |
| 关键词 | time delay dispersion Hull globally asymptotic stability almost periodic solution |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2006.09.133 |
| 英文摘要 | This paper studies a nonautonomous Lotka-Volterra almost periodic predator-prey dispersal system with discrete and continuous time delays which consists of two-patches, the prey species can disperse among two-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 a new method and 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, ecological conclusions and a particular case are given. These results are basically an extension of the known results for nonautonomous Lotka-Volterra systems. (C) 2006 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247191700043 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4261]  |
| 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.Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Shandong, Peoples R China 2.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 3.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Yulin Teachers Coll, Dept Math & Comp Sci, Yulin 537000, Guangxi, Peoples R China |
| 推荐引用方式 GB/T 7714 | Meng, Xinzhu,Xu, Weijian,Chen, Lansun. Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,188(1):365-378. |
| APA | Meng, Xinzhu,Xu, Weijian,&Chen, Lansun.(2007).Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion.APPLIED MATHEMATICS AND COMPUTATION,188(1),365-378. |
| MLA | Meng, Xinzhu,et al."Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion".APPLIED MATHEMATICS AND COMPUTATION 188.1(2007):365-378. |
入库方式： OAI收割
来源：数学与系统科学研究院
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