基于生态竞争方程的企业竞争动态演化研究
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引用本文:姚奕.基于生态竞争方程的企业竞争动态演化研究[J].经济数学,2011,(2):6-10
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作者单位
姚奕 (南京师范大学 数学科学学院江苏 南京210046) 
中文摘要:从生态学视角来研究企业竞争的动态演化已成为一个研究热点.针对现有研究文献中只讨论二维系统的不足,以三个企业之间的竞争为例,构造了企业间竞争的三维模型,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.
中文关键词:生态竞争方程  企业竞争  稳定性分析  动力学机制
 
Dynamic Evolution of Enterprises’ Competition Based on Ecological Competition Equations
Abstract:The research on dynamic evolution of enterprises competition from the perspective of ecology has attracted much attention. Aiming at the drawbacks of the existing studies, a three dimensional competitive model for three enterprises was formulated. The stability of this model was analyzed using the qualitative theory of differential equations, which reveals the dynamical mechanism of enterprises competition. The numerical simulations suggest that this three dimensional model can reflect the law of dynamic evolution of enterprises competition effectively.
keywords:ecological competition equations  enterprise competition  stability analysis  dynamic mechanism
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