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-  2019 

Flip Bifurcation and Stability in a Discrete-Time Prey-Predator Model with Allee Effect

Keywords: Flip Bifurcation, Stability,Discrete-Time Prey-Predator Model,Allee effect,Population Model

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Abstract:

In this paper, a discrete-time prey-predator model with Allee effect is considered. The dynamical behavior of the model is investigated. The existence and stability conditions of the coexistence fixed point of the model are analyzed. By using bifurcation theory, it is shown that the model undergoes flip bifurcation. Also, numerical simulations are presented to support the obtained theoretical results. 39A33, 37G35, 39A30

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