Model of money income diffusion in the European integration context

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dc.citation.epage592
dc.citation.issue2
dc.citation.journalTitleМатематичне моделювання та комп'ютинг
dc.citation.spage583
dc.contributor.affiliationПрикарпатський національний університет імені Василя Стефаника
dc.contributor.affiliationЛодзький університет
dc.contributor.affiliationVasyl Stefanyk Precarpathian National University
dc.contributor.affiliationUniversity of Lodz
dc.contributor.authorДмитришин, Л. І.
dc.contributor.authorДмитришин, М. І.
dc.contributor.authorОлейнік, А.
dc.contributor.authorDmytryshyn, L. I.
dc.contributor.authorDmytryshyn, M. I.
dc.contributor.authorOlejnik, A.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2025-03-04T10:28:14Z
dc.date.created2023-02-28
dc.date.issued2023-02-28
dc.description.abstractПобудовано модель дифузії грошових доходів населення з урахуванням процесів соціального порівняння і розвитку просторової структури формування доходів. Для реалізації такої моделі використано аналітичну теорію неперервних дробів і знайдено розв’язок відповідного диференціального рівняння у формі формального функціонального неперервного дробу. Значення підхідних дробів неперервного дробу, який описує зміну рівня грошових доходів, дають наближення реальних значень з наперед заданою, як завгодно великою точністю. Це дозволило якісно описати загальну динаміку процесу дифузії грошових доходів.
dc.description.abstractA model of money income diffusion is constructed taking into account the processes of social comparison and the development of the income formation spatial structure. To implement such model, the analytical theory of continued fractions is used and the corresponding differential equation solution is found in the form of a formal functional continued fraction. The values of the approach fractions of a continuous fraction describing the dynamics of changes in the level of money income give an approximation of the real values with almost predetermined, arbitrarily high accuracy. This allowed us to qualitatively describe the general dynamics of the money income diffusion process.
dc.format.extent583-592
dc.format.pages10
dc.identifier.citationDmytryshyn L. I. Model of money income diffusion in the European integration context / L. I. Dmytryshyn, M. I. Dmytryshyn, A. Olejnik // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 10. — No 2. — P. 583–592.
dc.identifier.citationenDmytryshyn L. I. Model of money income diffusion in the European integration context / L. I. Dmytryshyn, M. I. Dmytryshyn, A. Olejnik // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 10. — No 2. — P. 583–592.
dc.identifier.doidoi.org/10.23939/mmc2023.02.583
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/63420
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofМатематичне моделювання та комп'ютинг, 2 (10), 2023
dc.relation.ispartofMathematical Modeling and Computing, 2 (10), 2023
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dc.relation.references[9] Dmytryshyn L. I. Conceptual approach to modelling of spatial-structural differentiation of population’s money incomes. Actual Problems of Economics. 6, 114–122 (2013).
dc.relation.references[10] Banerjeea A., Yakovenko V. M., Di Matteo T. A study of the personal income distribution in Australia. Physica A. 370 (1), 54–59 (2006).
dc.relation.references[11] Chakrabarti B. K., Chakraborti A., Chatterjee A. Econophysics and Sociophysics: Trends and Perspectives. Wiley-VCH (2006).
dc.relation.references[12] Rogers E. M. Diffusion of Innovations. Free Press (1983).
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dc.relation.references[16] https://ec.europa.eu/eurostat/.
dc.relation.references[17] https://www.ukrstat.gov.ua/.
dc.relation.references[18] Antonova T., Dmytryshyn R., Kravtsiv V. Branched continued fraction expansions of Horn’s hypergeometric function H3 ratios. Mathematics. 9 (2), 148 (2021).
dc.relation.references[19] Antonova T., Dmytryshyn R., Sharyn S. Generalized hypergeometric function 3F2 ratios and branched continued fraction expansions. Axioms. 10 (4), 310 (2021).
dc.relation.references[20] Dmytryshyn R. I. Convergence of multidimensional A- and J-fractions with independent variables. Computational Methods and Function Theory. 22, 229–242 (2022).
dc.relation.references[21] Dmytryshyn R. I., Sharyn S. V. Approximation of functions of several variables by multidimensional Sfractions with independent variables. Carpathian Mathematical Publications. 13 (3),
dc.relation.referencesen[1] Aghion P., Caroli E., Garcia–Penalosa C. Inequality and Economic Growth: The Perspective of the New Growth Theories. Journal of Economic Literature. 37 (4), 1615–1660 (1999).
dc.relation.referencesen[2] Champernowne D. G., Cowell F. A. Economic Inequality and Income Distribution. Cambridge University Press (1998).
dc.relation.referencesen[3] Allanson P. Income stratification and between-group inequality. Economics Letters. 124 (2), 227–230 (2014).
dc.relation.referencesen[4] Azzoni C. R. Economic growth and regional income inequality in Brazil. The Annals of Regional Science. 35, 133–152 (2001).
dc.relation.referencesen[5] Bouvet F. EMU and the dynamics of regional per capita income inequality in Europe. The Journal of Economic Inequality. 8, 323–344 (2010).
dc.relation.referencesen[6] Fischer M. M., Stirb¨ock C. Pan-European regional income growth and club-convergence insights from a spatial econometric perspective. The Annals of Regional Science. 40, 693–721 (2006).
dc.relation.referencesen[7] Mookherjee D., Shorrocks A. F. A decomposition analysis of the trend in UK income inequality. The Economic Journal. 92 (368), 886–902 (1982).
dc.relation.referencesen[8] Ozhamaratli F., Kito O., Barucca P. A generative model for age and income distribution. EPJ Data Science. 11, 4 (2022).
dc.relation.referencesen[9] Dmytryshyn L. I. Conceptual approach to modelling of spatial-structural differentiation of population’s money incomes. Actual Problems of Economics. 6, 114–122 (2013).
dc.relation.referencesen[10] Banerjeea A., Yakovenko V. M., Di Matteo T. A study of the personal income distribution in Australia. Physica A. 370 (1), 54–59 (2006).
dc.relation.referencesen[11] Chakrabarti B. K., Chakraborti A., Chatterjee A. Econophysics and Sociophysics: Trends and Perspectives. Wiley-VCH (2006).
dc.relation.referencesen[12] Rogers E. M. Diffusion of Innovations. Free Press (1983).
dc.relation.referencesen[13] Lorentzen L., Waadeland H. Continued Fraction with Applications. North Holland (1992).
dc.relation.referencesen[14] Jones W. B., Thron W. J. Continued Fractions: Analytic Theory and Applications. Addison-Wesley Pub. Co. (1980).
dc.relation.referencesen[15] Cooper S. C. d-Fraction Solutions to Riccati Equations. Lecture Notes in Mathematics. Springer, Berlin, Heidelberg (1989).
dc.relation.referencesen[16] https://ec.europa.eu/eurostat/.
dc.relation.referencesen[17] https://www.ukrstat.gov.ua/.
dc.relation.referencesen[18] Antonova T., Dmytryshyn R., Kravtsiv V. Branched continued fraction expansions of Horn’s hypergeometric function H3 ratios. Mathematics. 9 (2), 148 (2021).
dc.relation.referencesen[19] Antonova T., Dmytryshyn R., Sharyn S. Generalized hypergeometric function 3F2 ratios and branched continued fraction expansions. Axioms. 10 (4), 310 (2021).
dc.relation.referencesen[20] Dmytryshyn R. I. Convergence of multidimensional A- and J-fractions with independent variables. Computational Methods and Function Theory. 22, 229–242 (2022).
dc.relation.referencesen[21] Dmytryshyn R. I., Sharyn S. V. Approximation of functions of several variables by multidimensional Sfractions with independent variables. Carpathian Mathematical Publications. 13 (3),
dc.relation.urihttps://ec.europa.eu/eurostat/
dc.relation.urihttps://www.ukrstat.gov.ua/
dc.rights.holder© Національний університет “Львівська політехніка”, 2023
dc.subjectмодель дифузії
dc.subjectгрошові доходи
dc.subjectфункціональний неперервний дріб
dc.subjectdiffusion model
dc.subjectmoney income
dc.subjectfunctional continuous fraction
dc.titleModel of money income diffusion in the European integration context
dc.title.alternativeМодель дифузії грошових доходів у контексті євроінтеграції
dc.typeArticle

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Mathematical Modeling And Computing. – 2023. – Vol. 10, No. 2