GLOBAL HOPF BIFURCATION IN A DELAYED PHYTOPLANKTON-ZOOPLANKTON MODEL WITH COMPETITION  

作　　者：Renxiang Shi Jiang Yu 

机构地区：[1]Dept. of Math., Shanghai Jiaotong University, Shanghai 200240, PR China

出　　处：《Annals of Applied Mathematics》2017年第1期32-49,共18页应用数学年刊（英文版）

基　　金：supported by the National Natural Science Foundations of China(No.11431008);NSF of Shanghai grant(No.15ZR1423700)

摘　　要：In this paper, the dynamics of a delayed phytoplankton-zooplankton model is considered. Taking the delay due to the gestation of zooplankton as param- eter, 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.In this paper, the dynamics of a delayed phytoplankton-zooplankton model is considered. Taking the delay due to the gestation of zooplankton as param- eter, 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.

关 键 词：global Hopf bifurcation normal form periodic solution com-petition phytoplankton-zooplankton 

分 类 号：O175[理学—数学]