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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Logistic Map-Based Banking Loan Dynamics with Central Bank Policies

Journal of Applied Nonlinear Dynamics 14(3) (2025) 561--574 | DOI:10.5890/JAND.2025.09.006

Moch. Fandi Ansori, Nurcahya Yulian Ashar, Hafidh Khoerul Fata

Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Semarang, Indonesia

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Abstract

In this paper, we investigate the relationship between the dynamics of bank loans and several central bank policies, including reserve requirement, capital adequacy ratio, and deposit and loan benchmark interest rates. Using bifurcation analysis, we investigate the effect of loan stability on the policies resulting in transcritical and flip bifurcations. We validate the analytical results by presenting a one-parameter bifurcation diagram to see the impact of each policy and a two-parameter bifurcation diagram to examine the impact of the combination of two central bank policies on loan stability. In addition, we present a sensitivity analysis of the effect of the combination of two policies using a contour plot.

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