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| HOPF BIFURCATION ANALYSIS IN A MONOD-HALDANE PREDATOR-PREY MODEL WITH THREE DELAYS |
| Renxiang Shi |
| (Dept. of Mathematics, Nanjing University of Chinese Medicine, Nanjing 210023, Jiangsu, PR China) |
| DOI： |
| Abstract: |
| We analysis Hopf bifurcation in a Monod-Haldane predator-prey model with three delays in this paper. Fixing $\tau_{1}$ and $\tau_{2}$ and taking $\tau_{3}$ 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. |
| Key words: Hopf bifurcation; Monod-Haldane predator-prey model; delays |