Stability analysis of a prey refuge predator–prey model with Allee effects

ABSTRACT

We constructed a discrete-time predator–prey model by adding prey refuge and Allee effects (predator saturation on preyand mate limitation on predator) to an earlier prey–predator model and examined its dynamics. We show the existence ofpositive fixed points and study the stability properties. The numerical simulations and bifurcation diagrams verify theimpact of refuge and the Allee mechanism on the system.