| 离散Leslie—Gower型捕食与被捕食系统的Neimark—Sacker分岔 |
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| 引用本文： | 朱丽霞,周慧香.离散Leslie—Gower型捕食与被捕食系统的Neimark—Sacker分岔[J].数学理论与应用,2009(4):29-32. |
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| 作者姓名： | 朱丽霞 周慧香 |
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| 作者单位： | 中南大学数学科学与计算技术院,长沙410083 |
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| 摘 要： | 本文利用映射的分岔理论讨论了离散Leslie—Gower型捕食与被捕食系统的Neimark—Sacker分岔，并通过数值模拟验证了所得结果的正确性。
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| 关 键 词： | 离散动力系统 Leslie—Cower 系统 稳定性 Neimark—Sacker分岔 |
Neimark - Sacker Bifurcation of the Discrete Predator - prey System of Leslie - Gower Type |
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| Zhu Lixia Zhou Huixiang.Neimark - Sacker Bifurcation of the Discrete Predator - prey System of Leslie - Gower Type[J].Mathematical Theory and Applications,2009(4):29-32. |
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| Authors: | Zhu Lixia Zhou Huixiang |
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| Institution: | Zhu Lixia Zhou Huixiang (School of Mathematical Science and Computing Technology, CSU, Changsha, 410083) |
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| Abstract: | In this paper,the Neimark- Sacker bifurcation a discrete predator- prey system of Leslie - Cower type is considered via bifurcation theory of map,and computer simulations are also provided to illustrate to the analytical results founded. |
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| Keywords: | Discrete dynamical system Leslie- Gower system Stability Neimark- Sacker bifurcation |
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