Analysis of modified Holling-Tanner model with strong Allee effect

Analysis of modified Holling-Tanner model with strong Allee effect

Blog Article

In this paper, we study a predator-prey system, the modified Holling-Tanner model with strong Allee effect.The existence and stability of the non-negative equilibria are discussed first.Several kinds of bifurcation phenomena, which the model may undergo, such as saddle-node bifurcation, Hopf TV Stands bifurcation, and Bogdanov-Takens bifurcation, are studied second.Bifurcation diagram for Bogdanov-Takens bifurcation of codimension 2 is given.

Then, possible dynamical behaviors of this model are illustrated by Valance Panel numerical simulations.This paper appears to be the first study of the modified Holling-Tanner model that includes the influence of a strong Allee effect.