Mathematics and Computational Sciences

Analytical and numerical investigation of Hopf bifurcation in an economic model

Document Type : Original Article

Authors

Javad Hadadi 1
Zohreh Eskandari 2

1 Department of Mathematical Sciences, Shahrekord University, Shahrekord, Iran

2 Department of Mathematics, Faculty of Science, Fasa University, Fasa, Iran

https://doi.org/10.30511/mcs.2025.2048171.1265
Abstract
This study examines an economic model and explores the Hopf bifurcation by individually varying the indebtedness factor and the output-capital ratio parameter. Both analytical and numerical methods are used to determine the conditions and coefficients for the normal form of the Hopf bifurcation. The critical coefficient for this bifurcation is identified using the central manifold theory. Additionally, the phase portrait of the model near the critical values of the indebtedness factor and the output-capital ratio parameter is illustrated using the Matcont software package.

Keywords

Economic model
Hopf bifurcation
Critical coefficient
Matcont package

Subjects

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Mathematics and Computational Sciences
Volume 7, Issue 1
Winter 2026
Pages 1-8

  • Receive Date 15 December 2024
  • Revise Date 05 October 2025
  • Accept Date 27 October 2025

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