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In this paper, the dynamic behaviour of the stage-structure prey-predator fractional-order derivative system is considered and
discussed. In this model, the Crowley–Martin functional response describes the interaction between mature preys with a predator.
e existence, uniqueness, non-negativity, and the boundedness of solutions are proved. All possible equilibrium points of this
system are investigated. e sucient conditions of local stability of equilibrium points for the considered system are determined.
Finally, numerical simulation results are carried out to conrm the theoretical results.