| 一类非线性随机种群动力学模型的最优收获控制 |
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| 引用本文： | 赵朝锋,张启敏. 一类非线性随机种群动力学模型的最优收获控制[J]. 数学的实践与认识, 2012, 42(5): 114-119 |
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| 作者姓名： | 赵朝锋 张启敏 |
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| 作者单位： | 1. 北方民族大学信息与计算科学学院,宁夏银川,750021
2. 北方民族大学信息与计算科学学院,宁夏银川750021;宁夏大学数学与计算机学院,宁夏银川750021 |
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| 摘 要： | 研究了一类非线性随机种群动力学模型的最优收获控制问题,得出了在外界环境对系统产生影响的条件下,最优控制所满足的必要条件及其最优性组,所得到的结论是确定性种群系统的扩展.
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| 关 键 词： | 非线性随机群体动力学模型 必要条件 伴随方程 |
An Optimal Harvesting Control Problem for Nonlinear Stochastic Population Dynamic Model |
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| ZHAO Chao-feng , ZHANG Qi-min. An Optimal Harvesting Control Problem for Nonlinear Stochastic Population Dynamic Model[J]. Mathematics in Practice and Theory, 2012, 42(5): 114-119 |
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| Authors: | ZHAO Chao-feng ZHANG Qi-min |
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| Affiliation: | 1,2) (1.School of Information and Computation Science,The North University for Ethnics,Yinchan 750021,China) (2.School of Mathematics and Computer Science,NingXia University,Yinchuan,750021,China) |
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| Abstract: | An optimal harvesting control problem for nonlinear stochastic population dynamic model is studidied.When the external environment impact on the system,The necessary condition for the optimization and its optimality system was obtained,which extends a result in the deterministic population system. |
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| Keywords: | nonlinear stochastic population dynamic model necessary condition adjoint equation |
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