Dynamics Analysis of a Nutrient-Plankton Model with a Time Delay
Joint Authors
Dai, Chuanjun
Wang, Nan
Wang, Beibei
Wang, Pengfei
Yu, Hengguo
Zhao, Min
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We analyze a nutrient-plankton system with a time delay.
We choose the time delay as a bifurcation parameter and investigate the stability of a positive equilibrium and the existence of Hopf bifurcations.
By using the center manifold theorem and the normal form theory, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are researched.
The theoretical results indicate that the time delay can induce a positive equilibrium to switch from a stable to an unstable to a stable state and so on.
Numerical simulations show that the theoretical results are correct and feasible, and the system exhibits rich complex dynamics.
American Psychological Association (APA)
Wang, Beibei& Zhao, Min& Dai, Chuanjun& Yu, Hengguo& Wang, Nan& Wang, Pengfei. 2016. Dynamics Analysis of a Nutrient-Plankton Model with a Time Delay. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1103644
Modern Language Association (MLA)
Wang, Beibei…[et al.]. Dynamics Analysis of a Nutrient-Plankton Model with a Time Delay. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1103644
American Medical Association (AMA)
Wang, Beibei& Zhao, Min& Dai, Chuanjun& Yu, Hengguo& Wang, Nan& Wang, Pengfei. Dynamics Analysis of a Nutrient-Plankton Model with a Time Delay. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1103644
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103644