Optimal impulsive control in periodic ecosystem

doi:10.1016/j.sysconle.2005.12.003

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	Optimal impulsive control in periodic ecosystem
	Xiao, Y ; Cheng, DZ; Qin, HS
	2006-07-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	55 期号:7 页码:558-565
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.
关键词	optimal impulsive harvesting policy logistic equation impulsive effects periodic solutions maximum annual-sustainable yield
DOI	10.1016/j.sysconle.2005.12.003
语种	英语
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000237842800007
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2666
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.