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

Changjin Xu; Chaouki Aouiti; Zixin Liu; Qiwen Qin; Lingyun Yao; Changjin Xu; Chaouki Aouiti; Zixin Liu; Qiwen Qin; Lingyun Yao

doi:10.3934/math.2022120

AIMS Mathematics

2022, Volume 7, Issue 2: 2102-2122. doi: 10.3934/math.2022120

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

1.
Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550025, PR China
2.
Faculty of Sciences of Bizerta, UR13ES47 Research Units of Mathematics and Applications, University of Carthage, Bizerta 7021, Tunisia
3.
School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, PR China
4.
School of Economics, Guizhou University of Finance and Economics, Guiyang 550025, PR China
5.
Library, Guizhou University of Finance and Economics, Guiyang 550025, PR China

Received: 18 September 2021 Accepted: 27 October 2021 Published: 08 November 2021
MSC : 34C23, 34K18, 37GK15, 39A11, 92B20

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.
- fractional-order delayed financial crises contagions model,
- delayed feedback controller,
- stability,
- bifurcation control,
- delay,
- bifurcation figure
Citation: Changjin Xu, Chaouki Aouiti, Zixin Liu, Qiwen Qin, Lingyun Yao. Bifurcation control strategy for a fractional-order delayed financial crises contagions model[J]. AIMS Mathematics, 2022, 7(2): 2102-2122. doi: 10.3934/math.2022120

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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.

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