Abstract

In this work, a bifurcation analysis of the predator-prey BB-model is presented by considering a weak Allee Effect on the prey. To bring out the difference between the proposed dynamical behavior and that of the BB-model with a strong Allee Effect, a local and global bifurcation analysis is presented. Finally, phase portraits and bifurcation diagrams are shown for the two cases studies to highlight the impact of the Allee Effects at low population density.

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