基于生态模型的企业竞争稳定性研究  

Stability Analysis of Enterprises Competition Based on Ecological Model

作　　者：刘启宽[1] 张志军 陈晓梅 李映辉[3] 

机构地区：[1]昆明学院数学系,云南昆明650214 [2]景洪市第四中学,云南景洪666100 [3]西南交通大学力学与工程学院,四川成都610031

出　　处：《数学的实践与认识》2016年第5期1-7,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11072204);四川省应用基础研究计划项目(2010JY0079);昆明学院引进人才科研项目资助(YJL12005)

摘　　要：从生态学视角来研究企业竞争的动态演化.针对现有研究文献中只讨论企业自身线性制约的三维系统的不足,构造了企业自身非线性制约的三维竞争模型,运用微分方程稳定性理论分析其稳定性,并由此揭示出企业间竞争的动力学机制.数值仿真结果表明,该三维模型能有效地模拟企业间竞争的动态演化规律.In this paper,the dynamic evolution of enterprise competition is studied from the perspective of ecology.Aiming at the drawbacks of the existing studies,which only discuss the linear constraints of the 3D system,the nonlinear constraints of the 3D competitive model is formulated.The stability of this model is analyzed using the qualitative theory of differential equations,which reveals the dynamical mechanism of enterprises competition.The results of numerical simulation show that this 3D model can effectively simulate the law of dynamic evolution of enterprise of competition.

关 键 词：企业竞争 生态模型 稳定性 平衡点 

分 类 号：F271[经济管理—企业管理]