Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator–prey model

Chengdai Huang, Heng Liu, Xiaoping Chen, Minsong Zhang, Ling Ding, Jinde Cao and Ahmed Alsaedi

Physica A: Statistical Mechanics and its Applications, 2020, vol. 554, issue C

Abstract: This paper excogitates the major theme of bifurcation control for a delayed fractional-order predator–prey model in accordance with an enhancing feedback controller. Initially, the bifurcation points of developed model are incisively established via analytic extrapolation by viewing time delay as a bifurcation parameter. Then, a range of contrastive analyses on the repercussion of bifurcation control are numerically illustrated including enhancing feedback, dislocated feedback and eliminating feedback approaches. It views that the stability performance of the developed model can be exceptionally intensified by enhancing feedback measure. Numerical simulations are implemented to gauge the benefits of the devised methodology in the end.

Keywords: Fractional order; Enhancing feedback control; Dislocated feedback control; Bifurcation control; Predator–prey models (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:554:y:2020:i:c:s0378437120300030

DOI: 10.1016/j.physa.2020.124136

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