4.6 Article

Hybrid tactics for bifurcation control in a fractional-order delayed predator-prey model

Journal

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2018.09.185

Keywords

Hopf bifurcation; Hybrid control; Fractional-order; Delayed predator-prey system

Funding

  1. Research Project of Hubei Provincial Department of Education [B2017161]

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This paper handles the problem of controlling bifurcation for a fractional delayed predator prey system via active hybrid control strategy. Delay-induced bifurcation conditions of the Hopf bifurcation are achieved for controlled model by using time delay as a bifurcation parameter. It is illustrated that the stability performance is drastically enhanced with the help of the proposed controller, yet Hopf bifurcation emerges in advance if the controller is removed. Finally, numerical simulations are carried out to confirm our theoretical analysis. (C) 2018 Elsevier B.V. All rights reserved.

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