| 食饵具有阶段结构的时滞捕食系统的Hopf 分支控制 |
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| 引用本文： | 刘娟,孙礼俊.食饵具有阶段结构的时滞捕食系统的Hopf 分支控制[J].徐州师范大学学报(自然科学版),2014(4):40-43. |
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| 作者姓名： | 刘娟 孙礼俊 |
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| 作者单位： | 蚌埠学院 数学与物理系,安徽 蚌埠,233030 |
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| 基金项目： | 安徽省教育厅省级自然科学研究项目 |
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| 摘 要： | 为研究一类食饵具有阶段结构的时滞捕食系统的 Hopf 分支控制问题，利用状态反馈和参数扰动方法设计Hopf 分支控制器，以延迟捕食系统 Hopf 分支的发生，得到了受控捕食系统的局部稳定性和产生 Hopf 分支的充分条件。最后，给出仿真实例，验证了控制器的有效性。
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| 关 键 词： | 捕食系统 阶段结构 时滞 Hopf 分支 |
Hopf bifurcation control for a predator-prey system with time delay and stage structure for the prey |
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| Liu Juan,Sun Lijun.Hopf bifurcation control for a predator-prey system with time delay and stage structure for the prey[J].Journal of Xuzhou Normal University(Natural Science Edition),2014(4):40-43. |
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| Authors: | Liu Juan Sun Lijun |
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| Institution: | Liu Juan;Sun Lijun;Department of Mathematics & Physics,Bengbu College; |
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| Abstract: | The problem of Hopf bifurcation control for a delayed predator-prey system with stage structure for the prey is studied.The state feedback and parameter perturbation are used to design Hopf bifurcation controller in or-der to delay the onset of Hopf bifurcation.The sufficient conditions for the stability and Hopf bifurcation existence of the controlled system are obtained.Finally,numerical simulation results are presented to show that the controller is efficient in controlling Hopf bifurcation. |
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| Keywords: | predator-prey system stage structure time delay Hopf bifurcation |
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