TY - JOUR T1 - Hopf Bifurcation Analysis in a Monod-Haldane Predator-Prey Model with Three Delays AU - Shi , Renxiang JO - Annals of Applied Mathematics VL - 1 SP - 73 EP - 90 PY - 2020 DA - 2020/08 SN - 36 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18093.html KW - Hopf bifurcation, Monod-Haldane predator-prey model, delays. AB -

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