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

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

Year:    2020

Author:    Renxiang Shi

Annals of Applied Mathematics, Vol. 36 (2020), Iss. 1 : pp. 73–90

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

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2020-AAM-18093

Annals of Applied Mathematics, Vol. 36 (2020), Iss. 1 : pp. 73–90

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Hopf bifurcation Monod-Haldane predator-prey model delays.

Author Details

Renxiang Shi