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

Weigang Zhou, Chengdai Huang, Min Xiao and Jinde Cao

Physica A: Statistical Mechanics and its Applications, 2019, vol. 515, issue C, 183-191

Abstract: 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.

Keywords: Hopf bifurcation; Hybrid control; Fractional-order; Delayed predator–prey system (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:515:y:2019:i:c:p:183-191

DOI: 10.1016/j.physa.2018.09.185

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