Published January 1, 2019
| Version v1
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Stability analysis of a prey refuge predator-prey model with Allee effects
- 1. Amer Univ Middle East, Coll Engn & Technol, Kuwait, Kuwait
- 2. Izmir Univ Econ, Dept Math, Izmir, Turkey
- 3. Illinois State Univ, Dept Math, Normal, IL 61761 USA
Description
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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