<p>Hopf bifurcation and bifurcation control of a generalized delay fractional-order prey–predator–scavenger system (GFPS) are analyzed in this paper. Firstly, the conditions of existence and uniqueness of solutions of GFPS are discussed. Secondly, local stability conditions of the equilibria of the non-delay GFPS are derived by using the stability theory of the fractional-order system. Thirdly, choosing delay as a bifurcation parameter, the stable region and conditions of emergence of Hopf bifurcation at the coexistence equilibrium of the GFPS are deduced. A hybrid control method consisting of a linear delay feedback controller and a fractional-order proportional-derivative controller is introduced successfully to control the Hopf bifurcation of the GFPS. Finally, numerical simulations are implemented to validate the correctness of the theoretical analysis and the effectiveness of hybrid controller. Furthermore, numerical simulations show that the hybrid controller has a better control effect than that of a single controller.</p>