| 具周期系数的单种群模型及其最优捕获策略 |
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| 引用本文： | 鲁红英,王克. 具周期系数的单种群模型及其最优捕获策略[J]. 数学物理学报(A辑), 2005, 25(6): 926-932 |
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| 作者姓名： | 鲁红英 王克 |
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| 作者单位： | [1]东北财经大学数量经济系,大连116025 [2]哈尔滨工业大学（威海）数学系,威海264209 |
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| 基金项目： | 国家自然科学基金（10171010）和教育部重点项目（01061）资助 |
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| 摘 要： | 该文用一种新的方法, 讨论了单种群生物资源的捕获优化问题.以最大的可持续单位时间捕获量为管理目标, 得到一类非自治单种群捕获模型的最优捕获策略, 所得结果包括了文献中研究过的几乎所有单种群捕获模型的相应研究结果.
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| 关 键 词： | 具有周期系数的单种群捕获模型 周期解 最优捕获努力量 生产函数 |
| 文章编号： | 1003-3998(2005)06-926-07 |
| 收稿时间： | 2004-10-18 |
| 修稿时间： | 2004-10-18 |
Nonautonomous Single Population Models with Periodoc Coefficients and Their Optimal Harvesting Policies |
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| LU Hong-Ying,WANG Ke. Nonautonomous Single Population Models with Periodoc Coefficients and Their Optimal Harvesting Policies[J]. Acta Mathematica Scientia, 2005, 25(6): 926-932 |
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| Authors: | LU Hong-Ying WANG Ke |
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| Affiliation: | 1Department of Quantitative Economics, Dong Bei University of Finance and Economics, Dalian 116025;2Department of Mathematics, Harbin Institute of Technology, Weihai 264209 |
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| Abstract: | In this paper, using a new method, the authors discuss the optimal harvesting problems of nonautonomous single population biological resource. The authors choose the maximum annual-sustainable yield as the management objective and investigate the optimal harvesting policies for a class of nonautonomous single population models. The results include almost all nonautonomous single populatiom models researched in literature. |
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| Keywords: | Single population model with periodic coefficients Periodic solution Optimal harvesting effort Production function. |
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