| 具有Allee效应的广义Logistic模型的捕获优化问题 |
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| 引用本文： | 李文霞,雒志学.具有Allee效应的广义Logistic模型的捕获优化问题[J].重庆师专学报,2014(5):36-39. |
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| 作者姓名： | 李文霞 雒志学 |
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| 作者单位： | 兰州交通大学数学系,甘肃兰州730070 |
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| 摘 要： | 研究了含Allee效应的广义Logistic模型正平衡点的存在性及其稳定性，并讨论了最大可承受产量，利用Pontryain最大值原理确定了最优捕获策略。
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| 关 键 词： | Allee效应 Pontryain最大值原理 最优捕获 |
Optimal harvesting problem of generalized logistic model with Allee effect |
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| LI Wenxia,LUO Zhixue.Optimal harvesting problem of generalized logistic model with Allee effect[J].Journal of Chongqing Teachers College,2014(5):36-39. |
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| Authors: | LI Wenxia LUO Zhixue |
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| Institution: | ( Department of Mathematics, Lanzhou Jiaotong University, Lanzhou Gansu ？300？0, China) |
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| Abstract: | The existence and stability of the positive equilibrium point of the generalized Logistic model with Allee effect were studied in the paper. Meanwhile the maximum yield was discussed. Using the Pontryain maximum principle,the optimal harvesting policy was determined. |
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| Keywords: | Allee effect Pontryain maximum optimal harvesting |
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