Mathematical Modeling of the Dynamics of Credit and Deposit Operations of Commercial Banks
DOI:
https://doi.org/10.31150/ajshr.v2i7.562Keywords:
dynamics of bank capital, commercial bank, competing interests, resources, mathematical modelAbstract
In the paper an improved mathematical model of credit-deposition operations dynamics of commercial banks is developed. It is shown that delay factors in the dynamics can be taken into account by using the fractional differential equations apparatus. A generalization of previously known models and their numerical analysis are given.
References
Capinski M., Zastawniak T. Mathematics for Finance: An Introduction to Financial Engineering. Springer. 2003. – 321 p.
Lando D. Credit Risk Modeling. Theory and Applications. Princeton University Press. 2004. – 329 p.
Bensoussan A., Zhang Q. (Guest editors). Mathematical modeling and numerical methods in finance. Elsevier. 2009.
Khuzhayorov Kh.B. Mathematical modeling of the dynamics of credit funds of commercial banks // "Prospects for the application of innovative and modern information technologies in education, science and management." Proceedings of the international scientific-practical online conference. Samarkand State University. Samarkand. 2020. p. 200-205.
Greene W. H. Econometric analysis. Prentice Hall. 2012.
Samarskiy A.A., Mikhailov A.P. Mathematical modeling: Ideas. Methods. Examples.— 2nd ed., - M .: FIZMATLIT, 2005. - 320 p.
Riznichenko G.Yu. Mathematical modeling of biological processes. Models in biophysics and ecology. - M .: Yurayt Publishing House, 2016 .-- 183 p.
Hastings Alan. Population Biology: Concepts and Models, Springer Science & Business Media, 2013.
Comes C.A. Banking system: three level Lotka-Volterra model, Procedia Economics and Finance. 2012, 3. 3251–3255.
Vlasenko M. Mathematical model of a conditional bank. Банкаўскi веснiк, STUDZEN. 2013.20-25.
Khan F.M.A., Azizah M., Ullah W.S. A fractional model for the dynamics of competition between commercial and rural banks in Indonesia. Chaos Solitons Fract. 122 (2019). 32–46.
Wang W., Khan M.A., Kumam F.P., Thounthong P. A comparison study of bank data in fractional calculus. Chaos, Solitons Fract. 126 (2019) 369–384.
Wang W., Khan M.A. Analysis and numerical simulation of fractional model of bank data with fractal–fractional Atangana-Baleanu derivative. J. Comput. Appl. Math. 369 (2019) 112646.
Das S., Gupta P. A mathematical model on fractional Lotka–Volterra equations, J. Theor. Biol. 277 (1) (2011). 1–6.
Tikhonov, A.N. Differential equations / A.N. Tikhonov, A.B. Vasilieva, A.G. Sveshnikov. - M .: Publishing house "Science", 1980. - 231 p.
