Global Hopf Bifurcation in a Delayed Phytoplankton-Zooplankton Model with Competition
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@Article{AAM-33-32,
author = {Shi , Renxiang and Yu , Jiang},
title = {Global Hopf Bifurcation in a Delayed Phytoplankton-Zooplankton Model with Competition},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {33},
number = {1},
pages = {32--49},
abstract = {
In this paper, the dynamics of a delayed phytoplankton-zooplankton model is considered. Taking the delay due to the gestation of zooplankton as parameter, we describe the local Hopf bifurcation by center manifold theorem and normal form, then we discuss the global existence of periodic solution. At last, some simulations are given to support our result.
}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20593.html} }
TY - JOUR
T1 - Global Hopf Bifurcation in a Delayed Phytoplankton-Zooplankton Model with Competition
AU - Shi , Renxiang
AU - Yu , Jiang
JO - Annals of Applied Mathematics
VL - 1
SP - 32
EP - 49
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20593.html
KW - global Hopf bifurcation, normal form, periodic solution, competition, phytoplankton-zooplankton.
AB -
In this paper, the dynamics of a delayed phytoplankton-zooplankton model is considered. Taking the delay due to the gestation of zooplankton as parameter, we describe the local Hopf bifurcation by center manifold theorem and normal form, then we discuss the global existence of periodic solution. At last, some simulations are given to support our result.
Renxiang Shi & Jiang Yu. (2022). Global Hopf Bifurcation in a Delayed Phytoplankton-Zooplankton Model with Competition.
Annals of Applied Mathematics. 33 (1).
32-49.
doi:
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