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

Abstract This paper meditates the topic of bifurcation control for a delayed fractional-order predator–prey model in accordance with an enhancing feedback controller. Initially, the bifurcation points of devised model are incisively established via analytic extrapolation by regarding time delay as a bifurcation parameter. Then, a range of contrastive analysis on the influence of bifurcation control are numerically discussed including enhancing feedback, dislocated feedback and eliminating feedback approaches. It views that the stability performance of the developed model can be vastly intensified by enhancing feedback approach. Numerical simulations are finally performed to check the feasibility of the devised scheme.