Nonlinear dynamics of a nutrient-phytoplankton model with time delay
type: Item
instance of: scholarly article
title: Nonlinear dynamics of a nutrient-phytoplankton model with time delay
zbMATH Open document ID: 1418.92223
DOI: 10.1155/2015/939187
author: Debing Mei
author: Min Zhao
author: Hengguo Yu
author: Chuanjun Dai
author: Yi Wang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We consider a nutrient-phytoplankton model with a Holling type II functional response and a time delay. By selecting the time delay used as a bifurcation parameter, we prove that the system is stable if the delay value is lower than the critical value but unstable when it is above this value. First, we investigate the existence and stability of the equilibria, as well as the existence of Hopf bifurcations. Second, we consider the direction, stability, and period of the periodic solutions from the steady state based on the normal form and the center manifold theory, thereby deriving explicit formulas. Finally, some numerical simulations are given to illustrate the main theoretical results.
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 7025556
Wikidata QID: Q59105576
describes a project that uses: PRED_PREY
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/939187
OpenAlex ID: W2166943964
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description: scientific article; zbMATH DE number 7025556