Open Science Research Excellence

Open Science Index

Commenced in January 2007 Frequency: Monthly Edition: International Publications Count: 29526

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Analysis of Permanence and Extinction of Enterprise Cluster Based On Ecology Theory
This paper is concerned with the permanence and extinction problem of enterprises cluster constituted by m satellite enterprises and a dominant enterprise. We present the model involving impulsive effect based on ecology theory, which effectively describe the competition and cooperation of enterprises cluster in real economic environment. Applying comparison theorem of impulsive differential equation, we establish sufficient conditions which ultimately affect the fate of enterprises: permanence, extinction, and co-existence. Finally, we present numerical examples to explain the economical significance of mathematical results.
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[1] L.G. Gu, K. Fang, Ecology Research about Enterprise, Science & Technology Progress and Policy, (in Chinese) 24 (10) (2007) 119-123.
[2] H. Zhou, Enterprises cluster co-existence model and stability analysis, Systems Engineering, (in Chinese) 21 (4) (2003) 32-37.
[3] B.T. Wang, H.Y. Shu, Research on competition in mobile communications market: ecological model, Journal of Beijing Union University(Natural Science Edition), (in Chinese) 20 (2) (2006) 27-30.
[4] Q. Guo, Competitive strategies in an enterprise: an ecological model, Contemporary Economic Management, (in Chinese) 27 (2) (2005) 49-52.
[5] Z. Wang, R.Y. Pan, Analysis to the equilibrium of industrial clusters based on ecological model, Statistical Thinktank, (in Chinese) 8 (2008) 32-35.
[6] W.H. Li, F.R. Han, Studies on coordinated evolution laws between industry populations and imperial analysis, Chinese Journal of Management Science, (in Chinese) 12 (5) (2004) 137-143.
[7] R. Zhang, X.S. Qian, Z. Gao, A competitive model of enterprises based on ecology theory, System Engineering, (in Chinese) 26 (2008) 116-119.
[8] H.Y. Yi, W. Liu, Identifying the core competitive power of company based on the model of product population competition, Journal of Management Sciences, (in Chinese) 20 (3) 2007 16-22.
[9] M.E. Porter, Cluster and the new economics of competition, Harvard Business Review, (1998)(November-December) 77-90.
[10] J.C. Wang, The Space of Innovation-enterprise Cluster and Region Development, Beijing University Press, Beijing, 2001.
[11] J. Hou, H.H. Liu, Permanence and asymptotic behavior of the nonautonomous Lotka-Volterra competitive system with impulses, Journal of Biomathematics, (in Chinese) 24 (2) (2009) 213-221.
[12] Z.J. Yao, Permanence and extinction of impulsive Lotka-Volterra system, Journal of Hangzhou Normal University, (in Chinese) 7 (4) (2009) 246- 251.
[13] S. Ahmad, I.M. Stamova, Asymptotic stability of an N-dimensional impulsive competitive system, Nonlinear Anal. Real World Appl, 8 (2007) 654-663.
[14] P. Georgescu, I.M. Stamova, An impulsively controlled predator-pest model with disease in the pest, Nonlinear Anal. Real World Appl, 11 (2010) 270-287.
[15] X.H. Tian, Q.K. Nie, On model construction of enterprises- interactive relationship from the perspective of business ecosystem, Southern Economics Journal, (in Chinese) 4 (2006) 50-57.
[16] H.J. Guo, L.S. Chen, The effect of impulsive harvest on a predator-prey system with distributed time delay, Nonlinear Science and Numerical Simulation, 14 (5) (2009) 2301-2309.
[17] V. Lakshmikantham, D.D. Bainov, P.S. Simeonov, Theory of impulsive differential equations, Singapore: World Scientific Press, 1989.
[18] Y.H. Fan, L.L. Wang, Global asymptotical stability of a Logistic model with feedback control, Nonlinear Anal. Real World Appl, 11 (2010) 2686- 2697.
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