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.