Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay
文献类型：期刊论文
| 作者 | Meng, Xinzhu1,2; Chen, Lansun2,3 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2008-03-01 |
| 卷号 | 339期号:1页码:125-145 |
| 关键词 | time delay dispersal hull equation asymptotic stability periodic solution and almost periodic solution |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2007.05.084 |
| 英文摘要 | This paper studies a nonautonomous Lotka-Volterra dispersal systems with infinite time delay which models the diffusion of a single species into n patches by discrete dispersal. Our results show that the system is uniformly persistent under an appropriate condition. The sufficient condition for the global asymptotical stability of the system is also given. By using Mawhin continuation theorem of coincidence degree, we prove that the periodic system has at least one positive periodic solution, further, obtain the uniqueness and globally asymptotical stability for periodic system. By using functional hull theory and directly analyzing the right functional of almost periodic system, we show that the almost periodic system has a unique globally asymptotical stable positive almost periodic solution. We also show that the delays have very important effects on the dynamic behaviors of the system. (c) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000252057000012 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5389]  |
| 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, Peoples R China 2.Dalian Univ Technol, Dept Appl Math, Dalian 116024, 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. Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2008,339(1):125-145. |
| APA | Meng, Xinzhu,&Chen, Lansun.(2008).Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,339(1),125-145. |
| MLA | Meng, Xinzhu,et al."Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 339.1(2008):125-145. |
入库方式： OAI收割
来源：数学与系统科学研究院
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