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 proceedingConference article published in proceeding or bookAcademic researchpeer-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 languageEnglish
Title of host publication2010 Chinese Control and Decision Conference, CCDC 2010
Pages3725-3730
Number of pages6
DOIs
Publication statusPublished - 13 Aug 2010
Event2010 Chinese Control and Decision Conference, CCDC 2010 - Xuzhou, China
Duration: 26 May 201028 May 2010

Conference

Conference2010 Chinese Control and Decision Conference, CCDC 2010
Country/TerritoryChina
CityXuzhou
Period26/05/1028/05/10

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

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