Optimal impulsive harvesting of a single-species with Gompertz law of growth

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	Optimal impulsive harvesting of a single-species with Gompertz law of growth
	Zhang, YJ ; Xiu, ZL ; Chen, LS
	2006-06-01
发表期刊	JOURNAL OF BIOLOGICAL SYSTEMS
ISSN	0218-3390
卷号	14 期号:2 页码:303-314
摘要	In this paper we investigate the optimal harvesting problems of a single species with Gompertz law of growth. Based on continuous harvesting models, we propose impulsive harvesting models with constant harvest or proportional harvest. By using the discrete dynamical systems determined by the stroboscopic map, we discuss existence, stability and global attractivity of positive periodic solutions, and obtain the maximum sustainable yield and the corresponding optimal population level. At last, we compare the maximum sustainable yield of impulsive harvest with that of continuous harvest, and point out that proportional harvest is superior to constant harvest.
关键词	gompertz law maximum sustainable yield impulsive harves global attractivity
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS类目	Biology ; Mathematical & Computational Biology
WOS记录号	WOS:000238159400010
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3079
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YJ
作者单位	1.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China 2.Dalian Univ Technol, Dept Biosci & Biotechnol, Dalian 116024, Liaoning, Peoples R China 3.Acad Sinica, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YJ,Xiu, ZL,Chen, LS. Optimal impulsive harvesting of a single-species with Gompertz law of growth[J]. JOURNAL OF BIOLOGICAL SYSTEMS,2006,14(2):303-314.
APA	Zhang, YJ,Xiu, ZL,&Chen, LS.(2006).Optimal impulsive harvesting of a single-species with Gompertz law of growth.JOURNAL OF BIOLOGICAL SYSTEMS,14(2),303-314.
MLA	Zhang, YJ,et al."Optimal impulsive harvesting of a single-species with Gompertz law of growth".JOURNAL OF BIOLOGICAL SYSTEMS 14.2(2006):303-314.