Stability analysis of a prey refuge predator–prey model with Allee effects
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Date
2019-09
Journal Title
Journal ISSN
Volume Title
Publisher
Indian Academy of Sciences
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.
Description
Keywords
Allee effect, discrete dynamics, predator–prey model, refuge effect
Citation
Ufuktepe Unal, Akman Burcin Kulahciogluolcay. Stability analysis of a prey refuge predator–prey model with Allee effects. Journal of Biosciences. 2019 Sep; 44(4): 1-9