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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 863805, 7 pages
http://dx.doi.org/10.1155/2013/863805
Research Article

Dynamics of a Market Share Model for Enterprises with Coopetition Strategy

Shanxi University, Taiyuan, Shanxi 030006, China

Received 12 September 2013; Accepted 5 October 2013

Academic Editor: Zhen Jin

Copyright © 2013 Mingxia Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A deterministic model is used to study the change of the market share with coopetition strategy for enterprises. The model takes into consideration both coopetition enterprises and other enterprises, and the coopetition threshold is identified and global dynamics are completely determined by . It shows that is a global threshold parameter in the sense that if , the coopetition free equilibrium is globally stable and the market share of coopetition enterprises tends to zero, whereas if , there is a unique coopetition equilibrium which is globally attractive with some conditions, and thus the market share of coopetition enterprises tends to a steady state value. By some sensitivity analysis of on parameters, we conclude that the size of the coopetition threshold and coopetition equilibrium depended on the cooperation competitiveness of coopetition enterprises.