| 具有Leslie—Gower反应的离散捕食-食饵系统的稳定性和分支分析 |
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| 引用本文： | 张莉敏.具有Leslie—Gower反应的离散捕食-食饵系统的稳定性和分支分析[J].达县师范高等专科学校学报,2010,20(2):13-15. |
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| 作者姓名： | 张莉敏 |
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| 作者单位： | 四川文理学院数学与财经系,四川达州635000 |
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| 摘 要： | 研究了一类用向前欧拉法获得的具有Leslie—Cower反应类型的离散捕食系统的动力学行为．利用Jury判据，探讨了系统的渐进稳定性，利用分支理论和中心流型定理，证明了系统在一定条件下存在nip分支．
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| 关 键 词： | 向前欧拉法 离散捕食-食饵系统 flip分支 |
Stability and Bifurcation in a Discrete Predator-Prey System with Leslie-Gower Type |
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| ZHANG Li-min.Stability and Bifurcation in a Discrete Predator-Prey System with Leslie-Gower Type[J].Journal of Daxian Teachers College,2010,20(2):13-15. |
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| Authors: | ZHANG Li-min |
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| Institution: | Mathematics and Finance-Economics Department of SASU;Dazhou Sichuan 635000;China |
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| Abstract: | The dynamic behavior of a discrete predator-prey system obtained by forward Euler method with Leslie-Gower type is investigated.The Criterion Jury is adopted to analyze the asymptotical stability.The center manifold theory and bifurcation theorem can prove that the flip bifurcation exists in a certain condition. |
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| Keywords: | Forward Euler method discrete predator-prey system flip bifurcation |
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