| 具阶段结构两种群捕食模型的渐近行为及最优捕获 |
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| 引用本文： | 林琳,雒志学,刘彦平.具阶段结构两种群捕食模型的渐近行为及最优捕获[J].北华大学学报(自然科学版),2011,12(5):511-514. |
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| 作者姓名： | 林琳 雒志学 刘彦平 |
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| 作者单位： | 1. 运城农业职业技术学院基础部,山西运城,044000
2. 兰州交通大学数理与软件工程学院,甘肃兰州,730070 |
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| 摘 要： | 对一类具有阶段结构的两种群捕食模型进行了研究,讨论了该系统正平衡点的存在性与唯一性,得到了该系统唯一正平衡点全局渐近稳定的条件,由最优控制理论获得了最优捕获策略.
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| 关 键 词： | 捕食 阶段结构 全局渐近稳定 最优捕获 |
Optimal Harvesting and Asymptotic Behaviors of Two Species Predator-prey Model with a Stage-structure |
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| LIN Lin,LUO Zhi-xue,LIU Yan-ping.Optimal Harvesting and Asymptotic Behaviors of Two Species Predator-prey Model with a Stage-structure[J].Journal of Beihua University(Natural Science),2011,12(5):511-514. |
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| Authors: | LIN Lin LUO Zhi-xue LIU Yan-ping |
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| Institution: | LIN Lin1,LUO Zhi-xue2,LIU Yan-ping2(1.Basic Courses Department of Yuncheng Agriculture Vocational Technology College,Yuncheng 044000,China,2.School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China) |
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| Abstract: | A class of two species and predator-prey model with a stage-structure is considered.The existence and the unique of the positive equilibrium are discussed.Some conditions for global asymptotic stability of the unique positive equilibrium are obtained.The optimal harvesting strategy is gained by applying the optimal control theory. |
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| Keywords: | predator-prey stage-structure globally asymptotical stability optimal harvesting |
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