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Allee effect bifurcation in the γ-Ricker population model using the Lambert W function
Publication . Rocha, J. Leonel; Taha, Abdel-Kaddous
The main purpose of this talk is to present the dynamical study and the bifurcation structures of the γ-Ricker population model. Resorting to the Lambert W function, the analytical solutions of the positive ﬁxed point equation for the γ-Ricker population model are explicitly presented and conditions for the existence and stability of these ﬁxed points are established. Another main focus of this work is the deﬁnition and characterization of the Allee effect bifurcation for the γ-Ricker population model, which is not a pitchfork bifurcation. Consequently, we prove that the phenomenon of Allee effect for the γ-Ricker population model is associated to the asymptotic behavior of the Lambert W function in a neighborhood of zero. Numerical studies are included.
2020-02Conference object Restricted access Show more