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Research Article | Open Access

Bifurcation control strategy for a fractional-order delayed financial crises contagions model

Changjin Xu1( ), Chaouki Aouiti2, Zixin Liu3, Qiwen Qin4, Lingyun Yao5
Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550025, PR China
Faculty of Sciences of Bizerta, UR13ES47 Research Units of Mathematics and Applications, University of Carthage, Bizerta 7021, Tunisia
School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, PR China
School of Economics, Guizhou University of Finance and Economics, Guiyang 550025, PR China
Library, Guizhou University of Finance and Economics, Guiyang 550025, PR China
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Abstract

In this paper, we propose a novel fractional-order delayed financial crises contagions model. The stability, Hopf bifurcation and its control of the established fractional-order delayed financial crises contagions model are studied. A delay-independent sufficient condition ensuring the stability and the occurrence of Hopf bifurcation for the fractional-order delayed financial crises contagions model is obtained. By applying time delay feedback controller, a novel delay-independent sufficient criterion guaranteeing the the stability and the occurrence of Hopf bifurcation for the fractional-order controlled financial crises contagions model with delays is set up.

Keywords

fractional-order delayed financial crises contagions modeldelayed feedback controllerstabilitybifurcation controldelaybifurcation figure
CLC number: 34C23, 34K18, 37GK15, 39A11, 92B20

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AIMS Mathematics
Volume 7 Issue 2,
February 2022
Pages 2102-2122
DOI: 10.3934/math.2022120

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Cite this article:
Xu C, Aouiti C, Liu Z, et al. Bifurcation control strategy for a fractional-order delayed financial crises contagions model. AIMS Mathematics, 2022, 7(2): 2102-2122. https://doi.org/10.3934/math.2022120

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Received: 18 September 2021
Accepted: 27 October 2021
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)