Dynamics of a Market Share Model for Enterprises with Coopetition Strategy

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 R0 is identified and global dynamics are completely determined by R0....

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Main Author: Mingxia Zhao
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/863805
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author Mingxia Zhao
author_facet Mingxia Zhao
author_sort Mingxia Zhao
collection DOAJ
description 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 R0 is identified and global dynamics are completely determined by R0. It shows that R0 is a global threshold parameter in the sense that if R0<1, the coopetition free equilibrium is globally stable and the market share of coopetition enterprises tends to zero, whereas if R0>1, 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 R0 on parameters, we conclude that the size of the coopetition threshold R0 and coopetition equilibrium depended on the cooperation competitiveness of coopetition enterprises.
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spelling doaj-art-88094273ee7b48649dd766dc46f240f92025-02-03T06:12:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/863805863805Dynamics of a Market Share Model for Enterprises with Coopetition StrategyMingxia Zhao0Shanxi University, Taiyuan, Shanxi 030006, ChinaA 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 R0 is identified and global dynamics are completely determined by R0. It shows that R0 is a global threshold parameter in the sense that if R0<1, the coopetition free equilibrium is globally stable and the market share of coopetition enterprises tends to zero, whereas if R0>1, 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 R0 on parameters, we conclude that the size of the coopetition threshold R0 and coopetition equilibrium depended on the cooperation competitiveness of coopetition enterprises.http://dx.doi.org/10.1155/2013/863805
spellingShingle Mingxia Zhao
Dynamics of a Market Share Model for Enterprises with Coopetition Strategy
Discrete Dynamics in Nature and Society
title Dynamics of a Market Share Model for Enterprises with Coopetition Strategy
title_full Dynamics of a Market Share Model for Enterprises with Coopetition Strategy
title_fullStr Dynamics of a Market Share Model for Enterprises with Coopetition Strategy
title_full_unstemmed Dynamics of a Market Share Model for Enterprises with Coopetition Strategy
title_short Dynamics of a Market Share Model for Enterprises with Coopetition Strategy
title_sort dynamics of a market share model for enterprises with coopetition strategy
url http://dx.doi.org/10.1155/2013/863805
work_keys_str_mv AT mingxiazhao dynamicsofamarketsharemodelforenterpriseswithcoopetitionstrategy