| 具反馈控制单种群食物有限模型稳定性研究 |
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| 引用本文： | 阮育清,杨慧涛,张惠英. 具反馈控制单种群食物有限模型稳定性研究[J]. 数学研究, 2011, 44(4): 418-424 |
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| 作者姓名： | 阮育清 杨慧涛 张惠英 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建福州,350108 |
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| 基金项目： | 福建省科技创新平台计划项目，福建省教育厅基金项目 |
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| 摘 要： | 研究具有反馈控制的食物有限模型．首先探讨了该系统的平衡点的局部稳定性态，其次借助于Bendixson-Dulac判别法证得系统不存在闭轨线，由此知系统的正平衡点是全局吸引的．
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| 关 键 词： | 反馈控制 食物有限模型 Bendixson-Dulac判别法 稳定性 |
On the Stability Property of a Single Species Food Limited Population Model with Feedback Control |
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| Ruan Yuqing,Yang Huitao,Zhang Huiying. On the Stability Property of a Single Species Food Limited Population Model with Feedback Control[J]. Journal of Mathematical Study, 2011, 44(4): 418-424 |
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| Authors: | Ruan Yuqing Yang Huitao Zhang Huiying |
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| Affiliation: | Ruan Yuqing,Yang Huitao,Zhang Huiying (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,) |
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| Abstract: | In this paper, a single species food limited population model with feedback control is studied. We first investigate the local stability property of the equilibrium of the system, next, by applying Bendixson-Dulac criterion, we are able to show that the unique positive equilibrium is global stability. |
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| Keywords: | Feedback control food limited population model Bendixson-Dulac criterion Global stability |
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