Stability and Bifurcations in Banks and Small Enterprises—A Three-Dimensional Continuous-Time Dynamical System

Marco Desogus and Beatrice Venturi

MPRA Paper from University Library of Munich, Germany

Abstract: Here, we discuss a three-dimensional continuous-time Lotka–Volterra dynamical system, which describes the role of government in interactions with banks and small enterprises. In Italy, during the COVID-19 emergency, the main objective of government economic intervention was to maintain the proper operation of the bank–enterprise system. We also review the effectiveness of measures introduced in response to the COVID-19 pandemic lockdowns to avoid a further credit crunch. By applying bifurcation theory to the system, we were able to produce evidence of the existence of Hopf and zero-Hopf bifurcating periodic solutions from a saddle focus in a special region of the parameter space, and we performed a numerical analysis.

Keywords: Credit crunch; simulation; credit big data; nonlinear analysis; periodic solutions; stability; dynamical system; zero-Hopf bifurcation (search for similar items in EconPapers)
JEL-codes: C62 C63 E32 E51 G21 G28 (search for similar items in EconPapers)
Date: 2023-03-03
New Economics Papers: this item is included in nep-ban and nep-fdg
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Journal Article: Stability and Bifurcations in Banks and Small Enterprises—A Three-Dimensional Continuous-Time Dynamical System (2023)
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