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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2025,2]]},"abstract":"<jats:p> A fractional-order proportional-derivative controller is designed to address bifurcation issues in a dual-time-delay fractional-order predator\u2013prey model, achieving anti-control of Hopf bifurcation at equilibrium of the system. By selecting different delays as bifurcation parameters, the stability and Hopf bifurcation conditions of the controlled system are derived. The results show that the fractional-order, delays and control parameters play an important role in determining the stability and Hopf bifurcation of the system. By selecting reasonable system parameters (fractional-order, delays, and control parameters), effective system control strategies can be devised. Finally, the key findings of this study are verified through numerical examples. 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