Hopf Bifurcation Analysis in a Monod-Haldane Predator-Prey Model with Three Delays

Abstract

We analyze Hopf bifurcation in a Monod-Haldane predator-prey model with three delays in this paper. Fixing $τ_1$ and $τ_2$ and taking $τ_3$ as parameter, the direction and stability of Hopf bifurcation are studied by using center manifold theorem and normal form. At last some simulations are given to support our results