Theoretical analysis and computer simulations of a fractional order bank data model incorporating two unequal time delays

作者：

Highlights：

• A new fractional order bank data model is established.

• Existence and uniqueness, non-negativeness, boundedness of the solution are studied.

• Hopf bifurcation and Hopf bifurcation control are investigated.

• The role of delay in controlling the creation of Hopf bifurcation is revealed.

• Very few works on Hopf bifurcation control for fractional-order models by PDξ controller.

摘要

•A new fractional order bank data model is established.•Existence and uniqueness, non-negativeness, boundedness of the solution are studied.•Hopf bifurcation and Hopf bifurcation control are investigated.•The role of delay in controlling the creation of Hopf bifurcation is revealed.•Very few works on Hopf bifurcation control for fractional-order models by PDξ controller.

论文关键词：Fractional-order bank data model,Stability,Hopf bifurcation,Hopf bifurcation control,PDξ controller,Global stability

论文评审过程：Received 27 October 2021, Revised 23 January 2022, Accepted 7 March 2022, Available online 26 March 2022, Version of Record 29 March 2022.

论文官网地址：https://doi.org/10.1016/j.eswa.2022.116859