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| GLOBAL HOPF BIFURCATION IN A DELAYED PHYTOPLANKTON-ZOOPLANKTON MODEL WITH COMPETITION |
| Renxiang Shi,Jiang Yu |
| (Dept. of Math., Shanghai Jiaotong University, Shanghai 200240, PR China) |
| DOI： |
| 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. |
| Key words: global Hopf bifurcation; normal form; periodic solution; competition; phytoplankton-zooplankton |