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

Chao Liu, Qingling Zhang, Jianhui Huang

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

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 languageEnglish
Title of host publicationProceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011
Pages586-591
Number of pages6
DOIs
Publication statusPublished - 5 Sep 2011
Event2011 Chinese Control and Decision Conference, CCDC 2011 - Mianyang, China
Duration: 23 May 201125 May 2011

Conference

Conference2011 Chinese Control and Decision Conference, CCDC 2011
Country/TerritoryChina
CityMianyang
Period23/05/1125/05/11

Keywords

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

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering

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