Stability and Hopf Bifurcation Analysis of a Nutrient-Phytoplankton Model with Delay Effect
Joint Authors
Wang, Yapei
Dai, Chuanjun
Pan, Xinhong
Zhao, Min
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A delay differential system is investigated based on a previously proposed nutrient-phytoplankton model.
The time delay is regarded as a bifurcation parameter.
Our aim is to determine how the time delay affects the system.
First, we study the existence and local stability of two equilibria using the characteristic equation and identify the condition where a Hopf bifurcation can occur.
Second, the formulae that determine the direction of the Hopf bifurcation and the stability of periodic solutions are obtained using the normal form and the center manifold theory.
Furthermore, our main results are illustrated using numerical simulations.
American Psychological Association (APA)
Pan, Xinhong& Zhao, Min& Dai, Chuanjun& Wang, Yapei. 2014. Stability and Hopf Bifurcation Analysis of a Nutrient-Phytoplankton Model with Delay Effect. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014000
Modern Language Association (MLA)
Pan, Xinhong…[et al.]. Stability and Hopf Bifurcation Analysis of a Nutrient-Phytoplankton Model with Delay Effect. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014000
American Medical Association (AMA)
Pan, Xinhong& Zhao, Min& Dai, Chuanjun& Wang, Yapei. Stability and Hopf Bifurcation Analysis of a Nutrient-Phytoplankton Model with Delay Effect. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014000
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014000