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

RenxiangShi. (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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