| 一类离散的捕食与被捕食系统的稳定性与Neimark-Sacker分岔 |
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| 引用本文： | 周慧香,朱丽霞.一类离散的捕食与被捕食系统的稳定性与Neimark-Sacker分岔[J].数学理论与应用,2009(3):57-61. |
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| 作者姓名： | 周慧香 朱丽霞 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙410083 |
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| 摘 要： | 本文利用映射的分岔理论讨论了一类离散的捕食与被捕食系统的动力学性质，分析了其正平衡点的稳定性，并讨论了Neimark-Sacker分岔的稳定性与方向。
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| 关 键 词： | 捕食与被捕食系统 稳定性 Neimark-Sacker分岔 |
The Stability and Neimark- Sacker Bifurcation Analysis of a Discrete Predator- Prey System |
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| Zhou Huixiang,Zhu Lixia.The Stability and Neimark- Sacker Bifurcation Analysis of a Discrete Predator- Prey System[J].Mathematical Theory and Applications,2009(3):57-61. |
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| Authors: | Zhou Huixiang Zhu Lixia |
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| Institution: | (School of Mathematical Science and Computing Technology, CSU, Changsha, 410083 ) |
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| Abstract: | In this paper,the dynamics of a discrete predatorprey system is investigated via bifurcation theory of map,the local stability of positive equilibrium and the stability and direction of Neimark- Sacker bifurcation of the system is also discussed. |
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| Keywords: | Predator- Prey system Stability Neimark- Sacker bifurcation |
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