| 具有时滞和阶段结构的捕食系统的分支分析 |
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| 引用本文： | 刘娟. 具有时滞和阶段结构的捕食系统的分支分析[J]. 吉林林学院学报, 2014, 0(2): 149-154 |
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| 作者姓名： | 刘娟 |
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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： | 安徽省教育厅自然科学研究项目（KJ2013B137）. |
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| 摘 要： | 研究了一类食饵具有阶段结构的时滞捕食系统，通过分析特征方程，以捕食者的消极负反馈时滞为参数，讨论了系统正平衡点的局部稳定性和Hopf分支的存在性，利用中心流形定理和规范型理论，给出了确定Hopf分支方向和分支周期解稳定性的计算公式．
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| 关 键 词： | 捕食系统 时滞 Hopf分支 阶段结构 |
Bifurcation Analysis of Predator-prey System with Time Delay and Stage Structure |
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| LIU Juan. Bifurcation Analysis of Predator-prey System with Time Delay and Stage Structure[J]. , 2014, 0(2): 149-154 |
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| Authors: | LIU Juan |
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| Affiliation: | LIU Juan ( Department of Mathematics and Physics, Bengbu College, Bengbu 233030, China ) |
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| Abstract: | A delayed predator-prey system with stage structure for the prey is concerned. The stability and the existence of Hopf bifurcation at the coexistence equilibrium is discussed by analyzing the associated characteristic equation. An explicit formula for determining the stability and the direction of periodic solutions that bifurcates from Hopf bifurcation is derived by using the normal form theory and center manifold argument. |
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| Keywords: | predator-prey system delay Hopf bifurcation stage structure |
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