| 一类状态脉冲不育控制的单种群模型 |
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| 引用本文： | 李晓霞.一类状态脉冲不育控制的单种群模型[J].雁北师范学院学报,2013(3):12-15. |
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| 作者姓名： | 李晓霞 |
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| 作者单位： | 运城学院应用数学系,山西运城044000 |
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| 基金项目： | 运城学院科研项目[YQ-2010011] |
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| 摘 要： | 建立了一类状态反馈脉冲控制的不育单种群模型,当害鼠的数量达到经济危害水平时,通过灭杀,从而控制种群数量的增长。首先利用微分方程几何理论和后继函数的方法得到系统阶1周期解得存在性,并给出了阶1周期解得渐近稳定性的充分条件。
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| 关 键 词： | 状态脉冲 不育 阶1周期解 |
A Single Model with Contraception Impulsive State Control |
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| LI Xiao-xia.A Single Model with Contraception Impulsive State Control[J].Journal of Yanbei Teachers College,2013(3):12-15. |
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| Authors: | LI Xiao-xia |
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| Institution: | LI Xiao-xia(Department of Applied Mathematics,Yuncheng University,Yuncheng Shanxi,044000) |
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| Abstract: | In this paper,a single model with contraception impulsive state control is proposed.When it reaches the critical case,the control measures are taken by harvesting.The sufficient conditions for existences of order-1 periodic solution are obtained by differential equation geometry theory and the method of successor function.The order-1 periodic solution is orbitally asymptotically stable under some conditions. |
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| Keywords: | impulsive state contraception order-1 periodic solution |
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