A ratio-dependent predator-prey model with stage structure and optimal harvesting policy

doi:10.1002/mma.956

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	A ratio-dependent predator-prey model with stage structure and optimal harvesting policy
	Cai, Liming 1,2; Li, Xuezhi 1; Yu, Jingyuan 2; Zhu, Guangtian 3
	2008-05-01
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	31 期号:7 页码:859-877
摘要	In this paper, a ratio-dependent preclator-prey model with stage structure and harvesting is investigated. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence and stability are performed. By constructing appropriate Lyapunov functions, a set of easily verifiable Sufficient conditions are obtained for the global asymptotic stability of nonnegative equilibria of the model. The existence possibilities of bioeconomic equilibria have been examined. An optimal harvesting policy is also given by using Pontryagin's maximal principle. Copyright (C) 2007 John Wiley & Sons, Ltd.
关键词	predator-prey system stage structure ratio dependence global stability optimal harvesting policy
DOI	10.1002/mma.956
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000255080900007
出版者	JOHN WILEY & SONS 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/5920
专题	中国科学院数学与系统科学研究院
通讯作者	Cai, Liming
作者单位	1.Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R China 2.Beijing Inst Informat Control, Beijing 100037, Peoples R China 3.CAS, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cai, Liming,Li, Xuezhi,Yu, Jingyuan,et al. A ratio-dependent predator-prey model with stage structure and optimal harvesting policy[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2008,31(7):859-877.
APA	Cai, Liming,Li, Xuezhi,Yu, Jingyuan,&Zhu, Guangtian.(2008).A ratio-dependent predator-prey model with stage structure and optimal harvesting policy.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,31(7),859-877.
MLA	Cai, Liming,et al."A ratio-dependent predator-prey model with stage structure and optimal harvesting policy".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 31.7(2008):859-877.