| 自治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. 自治单种群模型及其最优捕获策略[J]. 系统科学与数学, 2004, 24(2): 200-205 |
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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. 东北师范大学数学系,植被生态教育部重点实验室,长春,130024 |
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| 基金项目： | 国家自然科学基金(10171010)，教育部重点项目(01061)资助课题. |
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| 摘 要： | 本文用一种新的方法,讨论了单种群生物资源的捕获优化问题.分别以单位时间最大可持续捕获量和单位时间最大净利润为管理目标,得到一类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自治单种群捕获模型的相应研究结果.
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| 关 键 词： | 单种群捕获模型 最优捕获努力量 生产函数 |
| 修稿时间： | 2002-05-16 |
AUTONOMOUS SINGLE-SPECIES MODELS AND THEIR OPTIMAL HARVESTING POLICIES |
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| Hong Ying LU,Ke WANG. AUTONOMOUS SINGLE-SPECIES MODELS AND THEIR OPTIMAL HARVESTING POLICIES[J]. Journal of Systems Science and Mathematical Sciences, 2004, 24(2): 200-205 |
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| Authors: | Hong Ying LU Ke WANG |
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| Affiliation: | (1)Department of Quantitative Economics,Dong Bei University of Finance and Economics, Dalian 116025;(2)Department of Mathematics, Northeast Normal University, Key Laboratory for Vegetation Ecology of Ministry of Education, Changchun 130024 |
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| Abstract: | In this paper, using a new method, we discuss the optimal harvesting problems for single-species biological resources. We choose the maximum sustainable yield and net revenue as the management objectives, and investigate the optimal harvesting policies for a class of autonomous single-species models. Our results include almost all the autonomous single-species models ever researched and reported in the literature. |
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| Keywords: | Single-species model optimal harvesting effort production function. |
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