The dynamics and control of a harvested differential-algebraic prey-predator model

Chao Liu; Qingling Zhang; Jianhui Huang

doi:10.1109/CCDC.2011.5968249

The dynamics and control of a harvested differential-algebraic prey-predator model

Chao Liu, Qingling Zhang, Jianhui Huang

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

1 Citation (Scopus)

Abstract

A differential-algebraic model which discusses a prey-predator system with harvest effort on predator is proposed. By using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around the interior equilibrium is investigated. The instability mechanism of the proposed model due to the variation of economic interest of harvesting is studied. In order to stabilize the proposed model around the interior equilibrium and maintain the economic interest of harvesting at an ideal level, a state feedback controller is designed. Finally, numerical simulations are carried out to show the consistency with theoretical analysis.

Original language	English
Title of host publication	Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011
Pages	586-591
Number of pages	6
DOIs	https://doi.org/10.1109/CCDC.2011.5968249
Publication status	Published - 5 Sept 2011
Event	2011 Chinese Control and Decision Conference, CCDC 2011 - Mianyang, China Duration: 23 May 2011 → 25 May 2011

Conference

Conference	2011 Chinese Control and Decision Conference, CCDC 2011
Country/Territory	China
City	Mianyang
Period	23/05/11 → 25/05/11

Keywords

differential-algebraic model
economic interest
harvesting
prey-predator
singularity induced bifurcation

ASJC Scopus subject areas

Information Systems and Management
Control and Systems Engineering

More information

10.1109/CCDC.2011.5968249

Cite this

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abstract = "A differential-algebraic model which discusses a prey-predator system with harvest effort on predator is proposed. By using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around the interior equilibrium is investigated. The instability mechanism of the proposed model due to the variation of economic interest of harvesting is studied. In order to stabilize the proposed model around the interior equilibrium and maintain the economic interest of harvesting at an ideal level, a state feedback controller is designed. Finally, numerical simulations are carried out to show the consistency with theoretical analysis.",

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The dynamics and control of a harvested differential-algebraic prey-predator model. / Liu, Chao; Zhang, Qingling; Huang, Jianhui.
Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011. 2011. p. 586-591 5968249.

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

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AB - A differential-algebraic model which discusses a prey-predator system with harvest effort on predator is proposed. By using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around the interior equilibrium is investigated. The instability mechanism of the proposed model due to the variation of economic interest of harvesting is studied. In order to stabilize the proposed model around the interior equilibrium and maintain the economic interest of harvesting at an ideal level, a state feedback controller is designed. Finally, numerical simulations are carried out to show the consistency with theoretical analysis.

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The dynamics and control of a harvested differential-algebraic prey-predator model

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Keywords

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