Stability and Selective Harvesting of a Phytoplankton-Zooplankton System
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-29
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Considering that some zooplankton can be harvested for food in some bodies of water, a phytoplankton-zooplankton model with continuous harvesting of zooplankton only is proposed and investigated.
By using environmental carrying capacity as a parameter, possible dynamic behaviors, such as stability, global stability, Hopf bifurcation, and transcritical bifurcations, are analyzed.
The optimal harvesting policy is disposed by imposing a tax per unit biomass of zooplankton.
The problem of determining the optimal harvest policy is solved by using Pontryagin's maximum principle subject to the state equations and the control constraints, and the impact of tax is also discussed.
Finally, some numerical simulations are performed to justify analytical findings.
American Psychological Association (APA)
Wang, Yong& Wang, Hongbin. 2014. Stability and Selective Harvesting of a Phytoplankton-Zooplankton System. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-490387
Modern Language Association (MLA)
Wang, Yong& Wang, Hongbin. Stability and Selective Harvesting of a Phytoplankton-Zooplankton System. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-490387
American Medical Association (AMA)
Wang, Yong& Wang, Hongbin. Stability and Selective Harvesting of a Phytoplankton-Zooplankton System. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-490387
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490387