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阶段结构远海-近海渔业模型的稳定性及最优收获
引用本文:陆忠华,迟学斌,陈兰荪.阶段结构远海-近海渔业模型的稳定性及最优收获[J].高校应用数学学报(英文版),2003,18(2):151-160.
作者姓名:陆忠华  迟学斌  陈兰荪
作者单位:Lu Zhonghua 1,2 Chi Xuebin 1 Chen Lansun 31 Supercomputing Center of Computer Network Information Center,Chinese Academy of Sciences,Beijing 100080,China.2 Statistic Department,Xian University of Finance and Economics,Xian 710061,China. 3 Institute of Mathematics,Academy of Mathematics & System Sciences,Beijing 100080,China.
基金项目:Supported by the Special Fund for Major State Basic Research Projects(G1 9990 3 2 80 5 ) and the Na-tional Natural Science Foundation of China(1 0 1 71 1 0 6)
摘    要:§ 1 IntroductionAlong with the development of science and technology,the capacity and output offishing have increased.For example,in China,traditional and backward manual tools areused and the inshore coastlines are limited for fishing,but now gradual improvements inthe technical efficiency of fishing gear and vessels have radically changed the fishing sce-nario.With the advent of sophisticated fishing instruments,the fishing scope has been ex-panded from inshore area to offshore area.As a …

收稿时间:24 June 2002

Optimal harvesting and stability for fishing models with stage structure in inshore-offshore areas
Lu Zhonghua,Chi Xuebin,Chen Lansun.Optimal harvesting and stability for fishing models with stage structure in inshore-offshore areas[J].Applied Mathematics A Journal of Chinese Universities,2003,18(2):151-160.
Authors:Lu Zhonghua  Chi Xuebin  Chen Lansun
Institution:(1) Supercomputing Center of Computer Network Information Center, Chinese Academy of Sciences, 100080 Beijing, China;(2) Statistic Department, Xi’an University of Finance and Economics, 710061 Xi’an, China;(3) Institute of Mathematics, Academy of Mathematics & System Sciences, 100080 Beijing, China
Abstract:A fishing model with stage structure in inshore and offshore areas is considered.Steady states of the dynamical system representing fishery are derived and their local,as well as global,stability is discussed.The optimal harvest policy is formulated and solved as an optimal control problem.A numerical example is given to illustrate the solution procedure.
Keywords:optimal harvest  stage structure  inshore-offshore area  stability  
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