| 改进收获项的具有食饵避难的Les1ie-Gower捕食系统 |
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| 引用本文： | 曾夏萍. 改进收获项的具有食饵避难的Les1ie-Gower捕食系统[J]. 玉林师范学院学报, 2014, 0(2): 18-22 |
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| 作者姓名： | 曾夏萍 |
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| 作者单位： | 玉林师范学院数学与信息科学学院,广西玉林537000 |
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| 基金项目： | 国家自然科学基金资助项目（61364020）,（61364020）,玉林师范学院校级一般项目（2013YJYB04）. |
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| 摘 要： | 改进了一般的收获项函数为更合理的形式,建立具有食饵避难的Leslie—Gower捕食与被捕食系统．利用微分方程的定性以及稳定性理论证明了正平衡点的局部渐近稳定性和全局渐近稳定性．并运用Pontryagin最大值原理得到了达到最优税收量的最优平衡解．这些结果将为有效开发和管理可再生种群资源提供一定的理论依据．
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| 关 键 词： | Leslie-Gower捕食系统 稳定性 最优税收策略 |
A Leslie-Gower Prey-predator model with Taxation and Improvement of the Harvest Item |
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| ZENG Xia-ping. A Leslie-Gower Prey-predator model with Taxation and Improvement of the Harvest Item[J]. Journal of Yulin Teachers College, 2014, 0(2): 18-22 |
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| Authors: | ZENG Xia-ping |
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| Affiliation: | ZENG Xia-ping ( College of Mathematics ＆ Information Science, Yulin Normal University, Yulin, Guangxi 537000 ) |
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| Abstract: | we improve the capture function, and establish a Leslie-Gower predator-prey model incorporating a prey refuge. The local asymptotic stability and global asymptotic stability conditions of its steady states are studied. We then solve the problem of optimal taxation policy by using Pontryagin＇s maximal principle. The results will provide some reliable theoretical basis for the development and utilization of biological resources. |
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| Keywords: | Leslie-Gower predator-prey system stability the optimal taxation policy |
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