| 一类具有食饵避难的Leslie-Gower捕食系统的征税模型 |
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| 引用本文： | 唐秋林,吴美云,郁胜旗,崔永斌.一类具有食饵避难的Leslie-Gower捕食系统的征税模型[J].安徽大学学报(自然科学版),2017,41(6). |
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| 作者姓名： | 唐秋林 吴美云 郁胜旗 崔永斌 |
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| 作者单位： | 南通大学 理学院,江苏 南通,226019;南通大学 理学院,江苏 南通,226019;南通大学 理学院,江苏 南通,226019;南通大学 理学院,江苏 南通,226019 |
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| 基金项目： | 国家自然科学基金资助项目，江苏省自然科学基金青年基金资助项目 |
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| 摘 要： | 提出一类具有食饵避难和一般收获项函数的Leslie-Gower捕食系统的征税模型.首先分析该系统的平衡点的存在性;然后根据Hurwitz判别法分析各个平衡点的局部渐近稳定的充分性,利用适当的Lyapunov函数,得到正平衡点全局渐近稳定的充分性条件;最后通过Pontryagin最大值原理得到了达到最优税收量的最优平衡解.
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| 关 键 词： | Leslie-Gower捕食系统 全局渐近稳定 最优税收 |
On a Leslie-Gower predator-prey taxation model incorporating a prey refuge |
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| TANG Qiulin,WU Meiyun,YU Shengqi,CUI Yongbin.On a Leslie-Gower predator-prey taxation model incorporating a prey refuge[J].Journal of Anhui University(Natural Sciences),2017,41(6). |
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| Authors: | TANG Qiulin WU Meiyun YU Shengqi CUI Yongbin |
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| Abstract: | A Leslie-Gower predator-prey taxation model incorporating prey-refuge and the capture function was constructed.Firstly,the existence of equilibrium of the system was discussed.Then the sufficient conditions of the local asymptotic stability of each point were reached by Hurwitz criterion.By constructing Lyapunov function,sufficient conditions of the global asymptotic stability of the positive equilibrium point for the model were obtained. Finally,the optimal taxation policy of the model was derived by means of Pontryagin maximum principle. |
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| Keywords: | Leslie-Gower predator-prey system global asymptotic stability optimal taxation |
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