Abstract
This paper showcases the bifurcation control of a delayed fractional predator–prey system via ingenious extended delayed feedback methodology. The gestation delay acts as a bifurcation parameter to decide the bifurcation point of the controlled system. Then it reflects that bifurcation occurs upon eliminating the devised controller. Besides, the impact of fractional orders, feedback gain and extended delay on the bifurcation point is exquisitely explored. It hints that bifurcation emergence can be efficaciously handicapped by modulating fractional order, feedback gain and extended feedback delay. The efficiency of the developed control scheme is neatly checked by simulations results.
•Extended feedback method is applied to control bifurcation in fractional order models.•The onset of bifurcation can be markedly lagged as the single order decreases.•Bifurcation dynamics can be repressed efficiently by adjusting extended feedback delay.•The devised scheme overmatches the traditional feedback control.