| 时滞食饵-捕食系统平衡点的稳定性和周期解 |
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| 引用本文： | 李小玲,胡广平.时滞食饵-捕食系统平衡点的稳定性和周期解[J].兰州大学学报(自然科学版),2009,45(2). |
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| 作者姓名： | 李小玲 胡广平 |
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| 作者单位： | 南京信息工程大学,数理学院,南京,210044 |
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| 基金项目： | 南京信息工程大学校内基金 |
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| 摘 要： | 考虑具有多个离散时滞的食饵一捕食系统,讨论了系统平衡点的稳定性.选取其中的一个时滞作为分支参数,运用Hopf分支定理得到了周期解的局部存在性.最后运用泛函微分方程的全局Hopf分支定理得到了周期解的大范围存在性.
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| 关 键 词： | 平衡点 线性化方程 Hopf分支 时滞 |
Stability and periodic solutions in a predator-prey system with delays |
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| LI Xiao-ling,HU Guang-ping.Stability and periodic solutions in a predator-prey system with delays[J].Journal of Lanzhou University(Natural Science),2009,45(2). |
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| Authors: | LI Xiao-ling HU Guang-ping |
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| Institution: | School of Mathematics and Physics;Nanjing University of Information Science and Technology;Nanjing 210044;China |
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| Abstract: | A predator-prey system with three delays was studied in this paper.The stability of the positive equilibrium was derived and,one of delays taken as the bifurcation parameter,the existence result of periodic solutions was obtained by using Hopf bifurcation theorem.In addition,the global existence results of periodic solutions were established by using a global Hopf bifurcation theorem of FDEs. |
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| Keywords: | equilibrium point linearizing equation Hopf bifurcation delay |
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