Mathematical model of political party competition
DOI:
https://doi.org/10.52575/2687-0932-2021-48-2-341-349Keywords:
events, system of differential equations, agitability coefficients, retirement coefficients, operator system, original, imageAbstract
One of the most important problems of social development is the organization of competition (struggle) of political parties. For the analysis and forecasting of this process, the most convenient method is mathematical modeling. The relevance of the development of a model of the struggle of parties is determined by the importance of the process under consideration for determining the strategy of the life of countries and peoples. In this study, a modified Richardson model (arms race) in the form of a dynamic system of differential equations is used to describe the competition of parties. An analytical solution of a dynamic system of differential equations is obtained using the operator method. To explain the developed method, a specific numerical example is considered. The features of the application of the model of competition of political parties are analyzed. The prospects for further development of the new developed method are determined. The developed method can be used for the analysis of interethnic, religious conflicts, for determining the maturation of an explosive, crisis situation in society. It allows you to analyze the clash of views and interests of individuals.
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