GLOBAL HOPF BIFURCATION IN A DELAYED PHYTOPLANKTON-ZOOPLANKTON MODEL WITH COMPETITION |
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| Authors: | Renxiang Shi and Jiang Yu |
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| Affiliation: | Dept. of Math., Shanghai Jiaotong University, Shanghai 200240, PR China and Dept. of Math., Shanghai Jiaotong University, Shanghai 200240, PR China |
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| 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. |
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| Keywords: | global Hopf bifurcation normal form periodic solution competition phytoplankton-zooplankton |
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