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具有比率的HollingⅢ类功能性反应函数的捕食者-食饵征税模型分析 被引量：3

Analysis of a Holling Ⅲ Functional Response of the Ratio-Dependent Prey-Predator Model with Taxation
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摘要 探讨了一类基于比率HollingⅢ类功能性反应函数的捕食者-食饵征税模型,得到了该系统正平衡点的存在性,局部渐近稳定性和稳定性条件,并利用Pontrjagin最大值原理得到了最优税收策略.为资源管理者制定合理的资源管理政策提供了理论依据. A Holling Ⅲ functional response of the ratio-dependent model with taxation is discussed.The existence of positive equilibrium of the system is proved and the local and global stability is investigated.An optimal taxation policy is obtained by Pontryagin′s maximum principle.
作者 贾春莹 高建国
机构地区 北方民族大学信息与计算科学学院
出处 《云南民族大学学报（自然科学版）》 CAS 2010年第3期177-180,共4页 Journal of Yunnan Minzu University:Natural Sciences Edition
关键词 HollingⅢ类功能性反应 基于比率 捕食者-食饵 全局渐近稳定性 最优税收 Holling Ⅲ functional response ratio-dependence predator prey global asymptotic stability optimal
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献6

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共引文献35

同被引文献20

  • 1刘毅婧,雒志学.一类3阶段结构自食系统的最优收获策略[J].重庆工学院学报,2007,21(11):43-45. 被引量：2
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引证文献3

二级引证文献2

云南民族大学学报（自然科学版）
2010年 第3期

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