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Stability analysis of dynamic model about enterprises competition with time delays |
Faculty of Science,Jiangsu University,Zhenjiang,Jiangsu 212013,China |
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Abstract 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
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