文章基本信息

标题：Modelling of Commercial Banks Capitals Competition Dynamics
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作者：N.Arabov ; D.Nasimov ; H.Khuzhayorov 等
期刊名称：International Journal of Early Childhood Special Education
电子版ISSN：1308-5581
出版年度：2022
卷号：14
期号：5
页码：4124-4132
DOI：10.9756/INTJECSE/V14I5.476
语种：English
出版社：International Journal of Early Childhood Special Education
摘要：According to the observations in this paper, an existing mathematical model of banking capital dynamics should be tweaked. First-order ordinary differential equations with a "predator-pray" structure make up the model, and the indicators are competitive. Numerical realisations of the model are required to account for three distinct sets of initial parameter values. It is demonstrated that a wide range of banking capital dynamics can be produced by altering the starting parameters. One of the three options is selected, and the other two are eliminated. The model is generalized taking into account fractional derivatives of the bank indicators for time, reflecting the rate of their change. Based on numerical calculations, it is established that reduction of the order of derivatives from units leads to a delay of banking capital dynamics. It is shown, that the less the order of derivatives from the unit, the more delay of dynamics of indicators. In all analyzed variants indicators at large times reach their equilibrium values.
关键词：Credit Resources;Deposits;Dynamics of the Banking Capital;Fractional Derivatives;Loan;Mathematical Model;Own Capital of the Bank