Bifurcation analysis in the diffusive Lotka–Volterra system: An application to market economy
Bifurcation analysis in the diffusive Lotka–Volterra system: An application to market economy
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DOI：
10.1016/j.chaos.2007.08.043
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发表时间：
2009-04
影响因子：
7.8
通讯作者：
A. W. Wijeratne;Fengqi Yi;Junjie Wei
中科院分区：
文献类型：
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作者：
A. W. Wijeratne;Fengqi Yi;Junjie Wei
本文建立了一个双寡头市场份额动态的Lotka-Volterra扩散系统。斯里兰卡移动的电信市场的一个案例被认为是概念化的模型感兴趣。详细的Hopf分岔，跨临界和干草叉分岔分析。特征方程的根的分布表明，可以通过增加创新，同时尽量减少每个竞争者的竞争，同时规范现有政策并引入新的产品差异化和增值政策来实现稳定的共存均衡。该途径是开放的未来的研究，可能会使用真实的时间信息，以制定数学健全的工具，在竞争激烈的商业环境中的决策。
A diffusive Lotka–Volterra system is formulated in this paper that represents the dynamics of market share at duopoly. A case in Sri Lankan mobile telecom market was considered that conceptualized the model in interest. Detailed Hopf bifurcation, transcritical and pitchfork bifurcation analysis were performed. The distribution of roots of the characteristic equation suggests that a stable coexistence equilibrium can be achieved by increasing the innovation while minimizing competition by each competitor while regulating existing policies and introducing new ones for product differentiation and value addition. The avenue is open for future research that may use real time information in order to formulate mathematically sound tools for decision making in competitive business environments.