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含时滞的企业竞争动力系统模型稳定性分析 被引量:4

Stability analysis of dynamic model about enterprises competition with time delays
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摘要 将Cournot-Bertrand竞争模型引入中小企业竞争中,建立了含竞争对手信息时滞和自身信息时滞的Cournot-Bertrand竞争模型,分析两种时滞对模型稳定性的影响,得到了系统稳定的充分条件,通过理论分析和数值模拟研究时滞量的变化对系统稳定域的影响,发现随着时滞量的增加和变大,系统不稳定区域逐渐扩大.因此企业在竞争中尽可能减少信息时滞才能获得竞争优势. The competition between small and middle enterprises is regarded as Cournot-Bertrand competition model.By introducing Cournot-Bertrand competition model with time lags between competitors and themselves,and by analyzing the effect of two kinds of time delays on model′s stability,the sufficient condition is derived.By studying how the area of stability changes through theoretical analysis and numerical simulation,it is discovered that unstable region will expand when the delays and time increase.It is concluded that enterprises can get more advantages through reducing information delays.
机构地区 江苏大学理学院
出处 《江苏大学学报(自然科学版)》 EI CAS 北大核心 2010年第2期245-248,共4页 Journal of Jiangsu University:Natural Science Edition
基金 国家自然科学基金资助项目(70871056)
关键词 信息时滞 Cournot-Bertrand竞争模型 稳定性 竞争优势 information delay Cournot-Bertrand competition model stability advantage
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参考文献9

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二级参考文献49

共引文献74

同被引文献21

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