Stability analysis of a fractional-order predator–prey model incorporating a constant prey refuge and feedback control

Abstract

Abstract In this paper, a kind of fractional-order predator–prey (FOPP) model with a constant prey refuge and feedback control is considered. By analyzing characteristic equations, we carry out detailed discussion with respect to stability of equilibrium points of the considered FOPP model. Besides, the effects of prey refuge and feedback control are also studied by numerical analysis. Our study reveals that prey refuge and feedback control can be used to adjust the biomass of prey species and predator species such that prey species and predator species finally reach a better state level.

Keywords

• Stability
• Fractional-order
• Predator–prey model
• Prey refuge
• Feedback control