Dynamic analysis and control in a differential-algebraic harmful phytoplankton blooms model

Chao Liu; Qingling Zhang; Wansheng Tang; Jianhui Huang

doi:10.1109/CCDC.2010.5498495

Dynamic analysis and control in a differential-algebraic harmful phytoplankton blooms model

Chao Liu, Qingling Zhang, Wansheng Tang, Jianhui Huang

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

A harvested allelopathic two-species phytoplankton ecosystem is investigated by a differential-algebraic model. By using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around the interior equilibrium is studied. Furthermore, instability mechanism of the proposed model due to variation of economic interest of harvesting is discussed. With the purpose of stabilizing the proposed model around the interior equilibrium and maintaining the economic interest of harvesting at an ideal level, state feedback controllers are designed. Finally, numerical simulations are carried out to show the effectiveness of designed controllers.

Original language	English
Title of host publication	2010 Chinese Control and Decision Conference, CCDC 2010
Pages	3725-3730
Number of pages	6
DOIs	https://doi.org/10.1109/CCDC.2010.5498495
Publication status	Published - 13 Aug 2010
Event	2010 Chinese Control and Decision Conference, CCDC 2010 - Xuzhou, China Duration: 26 May 2010 → 28 May 2010

Conference

Conference	2010 Chinese Control and Decision Conference, CCDC 2010
Country/Territory	China
City	Xuzhou
Period	26/05/10 → 28/05/10

Keywords

Differential-algebraic model
Economic interest
Harvest effort
Singularity induced bifurcation

ASJC Scopus subject areas

Decision Sciences (miscellaneous)
Control and Systems Engineering
Electrical and Electronic Engineering

More information

10.1109/CCDC.2010.5498495

Cite this

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title = "Dynamic analysis and control in a differential-algebraic harmful phytoplankton blooms model",

abstract = "A harvested allelopathic two-species phytoplankton ecosystem is investigated by a differential-algebraic model. By using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around the interior equilibrium is studied. Furthermore, instability mechanism of the proposed model due to variation of economic interest of harvesting is discussed. With the purpose of stabilizing the proposed model around the interior equilibrium and maintaining the economic interest of harvesting at an ideal level, state feedback controllers are designed. Finally, numerical simulations are carried out to show the effectiveness of designed controllers.",

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language = "English",

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Dynamic analysis and control in a differential-algebraic harmful phytoplankton blooms model. / Liu, Chao; Zhang, Qingling; Tang, Wansheng et al.
2010 Chinese Control and Decision Conference, CCDC 2010. 2010. p. 3725-3730 5498495.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

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AB - A harvested allelopathic two-species phytoplankton ecosystem is investigated by a differential-algebraic model. By using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around the interior equilibrium is studied. Furthermore, instability mechanism of the proposed model due to variation of economic interest of harvesting is discussed. With the purpose of stabilizing the proposed model around the interior equilibrium and maintaining the economic interest of harvesting at an ideal level, state feedback controllers are designed. Finally, numerical simulations are carried out to show the effectiveness of designed controllers.

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BT - 2010 Chinese Control and Decision Conference, CCDC 2010

T2 - 2010 Chinese Control and Decision Conference, CCDC 2010

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Dynamic analysis and control in a differential-algebraic harmful phytoplankton blooms model

Abstract

Conference

Keywords

ASJC Scopus subject areas

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