Dynamic Analysis of a Phytoplankton-Fish Model with Biological and Artificial Control
Joint Authors
Wang, Yapei
Dai, Chuanjun
Pan, Xinhong
Zhao, Min
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-17
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We investigate a nonlinear model of the interaction between phytoplankton and fish, which uses a pair of semicontinuous systems with biological and artificial control.
First, the existence of an order-1 periodic solution to the system is analyzed using a Poincaré map and a geometric method.
The stability conditions of the order-1 periodic solution are obtained by a theoretical mathematical analysis.
Furthermore, based on previous analysis, we investigate the bifurcation in the order-1 periodic solution and prove that the order-1 periodic solution breaks up an order-1 periodic solution at least.
In addition, the transcritical bifurcation of the system is described.
Finally, we provide a series of numerical results that illustrate the feasibility of the theoretical results.
Based on the theoretical and numerical results, we analyzed the feasibility of biological and artificial control, which showed that biological and artificial methods can control phytoplankton blooms.
These results are expected to be useful for the study of phytoplankton dynamics in aquatic ecosystems.
American Psychological Association (APA)
Wang, Yapei& Zhao, Min& Pan, Xinhong& Dai, Chuanjun. 2014. Dynamic Analysis of a Phytoplankton-Fish Model with Biological and Artificial Control. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-507692
Modern Language Association (MLA)
Wang, Yapei…[et al.]. Dynamic Analysis of a Phytoplankton-Fish Model with Biological and Artificial Control. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-507692
American Medical Association (AMA)
Wang, Yapei& Zhao, Min& Pan, Xinhong& Dai, Chuanjun. Dynamic Analysis of a Phytoplankton-Fish Model with Biological and Artificial Control. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-507692
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507692