Volume 36, Issue 1
Hopf Bifurcation Analysis in a Monod-Haldane Predator-Prey Model with Three Delays

Renxiang Shi

Ann. Appl. Math., 36 (2020), pp. 73-90.

Published online: 2020-08

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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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@Article{AAM-36-73, author = {Shi , Renxiang}, title = {Hopf Bifurcation Analysis in a Monod-Haldane Predator-Prey Model with Three Delays}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {36}, number = {1}, pages = {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

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18093.html} }
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

Shi , Renxiang. (2020). Hopf Bifurcation Analysis in a Monod-Haldane Predator-Prey Model with Three Delays. Annals of Applied Mathematics. 36 (1). 73-90. doi:
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