| 具有Allee效应的捕食者-食饵系统的稳定性分析 |
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| 引用本文： | 翁翠芹,衣娜.具有Allee效应的捕食者-食饵系统的稳定性分析[J].辽宁石油化工大学学报,2013(3):75-77,84. |
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| 作者姓名： | 翁翠芹 衣娜 |
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| 作者单位： | 辽宁石油化工大学理学院,辽宁抚顺,113001 |
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| 基金项目： | 国家自然科学基金项目(61104066)；辽宁省教育厅科研项目(W2010302)。 |
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| 摘 要： | 研究了具有Allee效应的捕食者-食饵系统稳定性问题。考虑对该系统的捕食者进行捕获,先讨论了正不动点的存在性,而后利用Routh-Hurvitz稳定性条件分析该系统的正不动点的稳定性。最后,数值仿真结果给出了该系统具有复杂的动态行为。
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| 关 键 词： | Allee效应 捕食者-食饵系统 稳定性 正不动点 Routh-Hurvitz稳定性条件 |
The Stability Analysis of a Predator-Prey System with Allee Effect |
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| WENG Cuiqin
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YI Na.The Stability Analysis of a Predator-Prey System with Allee Effect[J].Journal of Liaoning University of Petroleum & Chemical Technology,2013(3):75-77,84. |
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| Authors: | WENG Cuiqin YI Na |
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| Affiliation: | (School of Sciences, Liaoning Shihua University, Fushun Liaoning 113001, China ) |
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| Abstract: | The stability problem for a predator-prey system with Allee effect was studied. The existence for the positive fixed points of the system with harvesting in the predator was investigated. Then the stability for the positive fixed points of the system was analyzed by the stability condition of Routh-Hurvitz. Finally, numerical simulations displayed the complex dynamical behaviors. |
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| Keywords: | Allee effect Predator-prey system Stability Positive fixed points The stability condition of Routh-Hurvitz |
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