| 具有捕食者相互残杀项双时滞系统的Hopf分支 |
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| 引用本文： | 李大虎,陈淑苹,童欢,朱文文.具有捕食者相互残杀项双时滞系统的Hopf分支[J].湖北师范学院学报(自然科学版),2011,31(3):76-80. |
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| 作者姓名： | 李大虎 陈淑苹 童欢 朱文文 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石,435002 |
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| 摘 要： | 研究了一类捕食者相互残杀项多时滞系统,通过分析正平衡点处的特征方程,应用Hopf分支理论,以滞量为参数,得到了系统正平衡点的稳定性和Hopf分支存在的充分条件.
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| 关 键 词： | 时滞 Hopf分支 捕食-食饵系统 |
Stability and Hopf bifurcation analysis on a predator-prey model with two delays and the term of predator kill each other |
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| LI Da-hu,CHEN Shu-ping,TONG Huan,ZHU Wen-wen.Stability and Hopf bifurcation analysis on a predator-prey model with two delays and the term of predator kill each other[J].Journal of Hubei Normal University(Natural Science),2011,31(3):76-80. |
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| Authors: | LI Da-hu CHEN Shu-ping TONG Huan ZHU Wen-wen |
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| Institution: | LI Da-hu,CHEN Shu-ping,TONG Huan,ZHU Wen-wen(College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China) |
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| Abstract: | A class of predator-prey system with two delays and the term of predator kill each other is considered.By applying the theorem of Hopf bifurcation and choosing the delay as the bifurcation parameters,Sufficient conditions were obtained for the local stability of the positive equilibrium based on analyzing the corresponding characteristic equation. |
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| Keywords: | delay Hopf bifurcation predator-prey system |
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