Optimal impulsive control in periodic ecosystem
文献类型：期刊论文
| 作者 | Xiao, Y; Cheng, DZ ; Qin, HS
|
| 刊名 | SYSTEMS & CONTROL LETTERS
 |
| 出版日期 | 2006-07-01 |
| 卷号 | 55期号:7页码:558-565 |
| 关键词 | optimal impulsive harvesting policy logistic equation impulsive effects periodic solutions maximum annual-sustainable yield |
| ISSN号 | 0167-6911 |
| DOI | 10.1016/j.sysconle.2005.12.003 |
| 英文摘要 | In this paper, the impulsive exploitation of single species modelled by periodic Logistic equation is considered. First, it is shown that the generally periodic Kolmogorov system with impulsive harvest has a unique positive solution which is globally asymptotically stable for the positive solution. Further, choosing the maximum annual biomass yield as the management objective, we investigate the optimal harvesting policies for periodic logistic equation with impulsive harvest. When the optimal harvesting effort maximizes the annual biomass yield, the corresponding optimal population level, and the maximum annual biomass yield are obtained. Their explicit expressions are obtained in terms of the intrinsic growth rate, the carrying capacity, and the impulsive moments. In particular, it is proved that the maximum biomass yield is in fact the maximum sustainable yield (MSY). The results extend and generalize the classical results of Clark [Mathematical Bioeconomics: The Optimal Management of Renewable Resources, Wiley, New York, 1976] and Fan [Optimal harvesting policy for single population with periodic coefficients, Math. Biosci. 152 (1998) 165-177] for a population described by autonomous or nonautonomous logistic model with continuous harvest in renewable resources. (c) 2006 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Automation & Control Systems ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000237842800007 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2665]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Xiao, Y |
| 作者单位 | 1.Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xiao, Y,Cheng, DZ,Qin, HS. Optimal impulsive control in periodic ecosystem[J]. SYSTEMS & CONTROL LETTERS,2006,55(7):558-565. |
| APA | Xiao, Y,Cheng, DZ,&Qin, HS.(2006).Optimal impulsive control in periodic ecosystem.SYSTEMS & CONTROL LETTERS,55(7),558-565. |
| MLA | Xiao, Y,et al."Optimal impulsive control in periodic ecosystem".SYSTEMS & CONTROL LETTERS 55.7(2006):558-565. |
入库方式： OAI收割
来源：数学与系统科学研究院
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