亚正定阵在Gilpin-Ayala系统稳定性中的应用  

Some Applications of Subpositive Definite Matrices for Stability of Gilpin-Ayala Systems

作　　者：刘锋[1] 

机构地区：[1]江苏技术师范学院基础学科部,江苏常州213001

出　　处：《数学的实践与认识》2005年第8期123-126,共4页Mathematics in Practice and Theory

基　　金：江苏省教育厅自然科学研究计划项目(03KJD110088)资助

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.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.

关 键 词：亚正定阵 Gilpin-Ayala系统 稳定性 系统稳定性 亚正定阵 Ayala系统 应用 平衡位置 渐近稳定 

分 类 号：O175[理学—数学]