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Updated: Jan 19, 2026
Predator-Prey Interactions in the Ecosystem
Stability analysis of a prey refuge predator-prey model with Allee effects
Unal Ufuktepe1, Burcin Kulahcioglu, Olcay Akman
1College of Engineering and Technology, American University of the Middle East, Kuwait City, Kuwait.
Abstract:
We constructed a discrete-time predator-prey model by adding prey refuge and Allee effects (predator saturation on prey and mate limitation on predator) to an earlier prey-predator model and examined its dynamics. We show the existence of positive fixed points and study the stability properties. The numerical simulations and bifurcation diagrams verify the impact of refuge and the Allee mechanism on the system.
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