Nonlinear Dynamics of a Nutrient-Phytoplankton Model with Time Delay
Joint Authors
Dai, Chuanjun
Wang, Yi
Mei, Debing
Yu, Hengguo
Zhao, Min
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mei, Debing& Zhao, Min& Yu, Hengguo& Dai, Chuanjun& Wang, Yi. 2015. Nonlinear Dynamics of a Nutrient-Phytoplankton Model with Time Delay. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1062376
Modern Language Association (MLA)
Mei, Debing…[et al.]. Nonlinear Dynamics of a Nutrient-Phytoplankton Model with Time Delay. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1062376
American Medical Association (AMA)
Mei, Debing& Zhao, Min& Yu, Hengguo& Dai, Chuanjun& Wang, Yi. Nonlinear Dynamics of a Nutrient-Phytoplankton Model with Time Delay. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1062376
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1062376