| 受毒素影响的三维竞争系统的最优控制问题 |
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| 引用本文： | 刘宇红,刘志美.受毒素影响的三维竞争系统的最优控制问题[J].广西师院学报,2009(1):43-45. |
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| 作者姓名： | 刘宇红 刘志美 |
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| 作者单位： | 广东海洋大学理学院,广东湛江524088 |
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| 基金项目： | 广东省湛江市科学技术局科技攻关项目（2007（208006） |
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| 摘 要： | 将毒素输入率作为控制变量，研究了受毒素影响的由非线性剂量反应函数刻画的线性化三维竞争系统的最优控制问题，证明了在固定种群量附近该系统存在最优控制元．
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| 关 键 词： | 毒素影响 三维竞争系统 剂量反应函数 最优控制元 |
Optimal Control Problem of Three-Competition System Affected with Toxicant |
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| LIU Yu-hong,LIU Zhi-mei.Optimal Control Problem of Three-Competition System Affected with Toxicant[J].Journal of Guangxi Teachers College(Natural Science Edition),2009(1):43-45. |
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| Authors: | LIU Yu-hong LIU Zhi-mei |
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| Institution: | (College of Science, Guangdong Ocean University, Zhanjiang 524088, China) |
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| Abstract: | Regarding the toxin input rate as control variable, the optimal problem of linearization three-competition system affected by toxicant and characterized by nonlinear dose response function is studied. The existence of optimal control element about the system is proved at near fixed species quantities. |
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| Keywords: | affection with toxicant three-competition system dose response function optimal control element |
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