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

Author

Liu, Chao ; Zhang, QingLing ; Huang, James

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang, China

fYear

2011

fDate

23-25 May 2011

Firstpage

586

Lastpage

591

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.

Keywords

bifurcation; differential algebraic equations; economic indicators; predator-prey systems; stability; state feedback; bifurcation theory; differential-algebraic model; differential-algebraic system theory; economic interest of harvesting; harvested differential-algebraic prey-predator model; instability mechanism; interior equilibrium; local stability; numerical simulations; state feedback controller design; Bifurcation; Biological system modeling; Economics; Mathematical model; Numerical models; State feedback; differential-algebraic model; economic interest; harvesting; prey-predator; singularity induced bifurcation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2011 Chinese

Conference_Location

Mianyang

Print_ISBN

978-1-4244-8737-0

Type

conf

DOI

10.1109/CCDC.2011.5968249

Filename

5968249