Open Access
2014 Stability and Selective Harvesting of a Phytoplankton-Zooplankton System
Yong Wang, Hongbin Wang
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/684790


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.


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Yong Wang. Hongbin Wang. "Stability and Selective Harvesting of a Phytoplankton-Zooplankton System." J. Appl. Math. 2014 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131785
Digital Object Identifier: 10.1155/2014/684790

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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