Stability and Selective Harvesting of a Phytoplankton-Zooplankton System | Zendy

Yong Wang | Zendy; Hongbin Wang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability and Selective Harvesting of a Phytoplankton-Zooplankton System

Author(s) -

Yong Wang,

Hongbin Wang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/684790

Subject(s) - zooplankton , pontryagin's minimum principle , phytoplankton , stability (learning theory) , hopf bifurcation , biomass (ecology) , environmental science , optimal control , control theory (sociology) , mathematics , bifurcation , ecology , computer science , control (management) , mathematical optimization , biology , physics , nonlinear system , quantum mechanics , machine learning , artificial intelligence , nutrient

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research