Studying the dynamics of nonlinear interaction between enterprise populations

Hennadii Ivanchenko, Serhii Vashchaiev
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引用次数: 0

Abstract

The article highlights the results of a study of the dynamic evolutionary processes of trophic relations between populations of enterprises. A model based on differential equations is constructed, which describes the economic system and takes into account the dynamics of the specific income of competing populations of enterprises in relations of protocooperation, nonlinearity of growth and competition. This model can be used to analyze the dynamics of transient processes in various life cycle scenarios and predict the synergistic effect of mergers and acquisitions. A bifurcation analysis of possible scenarios of dynamic modes of merger and acquisition processes using the neural network system of pattern recognition was carried out. To this end, a Kohonen self-organizing map has been constructed, which recognizes phase portraits of bifurcation diagrams of enterprises life cycle into five separate classes in accordance with the scenarios of their development. As a result of the experimental study, characteristic modes of the evolution of economic systems were revealed, and also conclusions were made on the mechanisms of influence of the external environment and internal structure on the regime of evolution of populations of enterprises.
研究企业群体间非线性相互作用的动力学
本文重点介绍了对企业种群间营养关系动态演化过程的研究结果。建立了一个基于微分方程的模型,该模型描述了经济系统,并考虑了在原合作关系、增长非线性和竞争关系下竞争企业群体特定收入的动态变化。该模型可用于分析企业在不同生命周期情景下的瞬态过程动力学,预测企业并购的协同效应。利用模式识别神经网络系统对并购过程动态模式可能出现的情况进行了分岔分析。为此,构建了Kohonen自组织图,该图根据企业发展情景将企业生命周期分岔图的阶段肖像识别为五个独立的类。通过实验研究,揭示了经济系统演化的特征模式,并得出了外部环境和内部结构对企业种群演化机制的影响机制。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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CiteScore
1.70
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0.00%
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