Continuously Harvesting of a Phytoplankton-Zooplankton System with Holling I Functional Response

Hai Ting Sun; Yuan Tian

doi:10.4028/www.scientific.net/AMM.595.277

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 595Continuously Harvesting of a...

Continuously Harvesting of a Phytoplankton-Zooplankton System with Holling I Functional Response

Abstract:

In this paper, continuously harvesting of a phytoplankton-zooplankton system with Holling I functional response is proposed and analyzed. Firstly, the existence and stability of equilibria are addressed; the global asymptotical stability of equilibria is investigated by the Lyapunov method. And then, the existence of bionomic equilibria and the optimal harvesting policy are discussed. Finally, the conclusion is given.

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Periodical:

Applied Mechanics and Materials (Volume 595)

Pages:

277-282

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.595.277

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Online since:

July 2014

Authors:

Hai Ting Sun, Yuan Tian*

Keywords:

Bionomic Equilibrium, Holling i Functional Response, Optimization, Phytoplankton-Zooplankton Harvesting Model, Stability Analysis

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* - Corresponding Author

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