Year: 2017
Author: Renxiang Shi, Jiang Yu
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20593
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 32–49
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: global Hopf bifurcation normal form periodic solution competition phytoplankton-zooplankton.