| 亚正定阵在Gilpin-Ayala系统稳定性中的应用 |
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| 引用本文： | 刘锋.亚正定阵在Gilpin-Ayala系统稳定性中的应用[J].数学的实践与认识,2005,35(8):123-126. |
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| 作者姓名： | 刘锋 |
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| 作者单位： | 江苏技术师范学院基础学科部,江苏,常州,213001 |
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| 基金项目： | 江苏省教育厅自然科学研究计划项目(03KJD110088)资助 |
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| 摘 要： | Gilpin-Ayala系统在正的平衡位置的稳定性历来是人们关注的重要问题,许多文献都对此进行过较为深入的研究,并且建立了判定该系统在正的平衡位置稳定的若干新方法.将亚正定阵引入到Gilpin-Ayala系统,获得了判定其稳定、渐近稳定的另一些新方法.
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| 关 键 词： | 亚正定阵 Gilpin-Ayala系统 稳定性 |
| 修稿时间： | 2004年4月16日 |
Some Applications of Subpositive Definite Matrices for Stability of Gilpin-Ayala Systems |
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| LIU Feng.Some Applications of Subpositive Definite Matrices for Stability of Gilpin-Ayala Systems[J].Mathematics in Practice and Theory,2005,35(8):123-126. |
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| Authors: | LIU Feng |
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| Abstract: | Stability of Gilpin-Ayala systems at positive equilibrium position is an important problem to which a good deal of attention has been paid for a long time. Many articles have rather thoroughly researched it, and some new judging methods have been established. In this paper, Subpositive definite matrices are led into Gilpin-Ayala systems, and another some new judging methods for stability and approach stability of Gilpin-Ayala systems are acquired. |
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| Keywords: | subpositive definite matrices gilpin-Ayala systems stability |
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