Feedback control for singularity induced bifurcation of a differential-algebraic biological economic system

Author

Zhang, Junyi ; Zhang, Guodong ; Zhu, Lulu

Author_Institution

Dept. of Math., Huanghuai Univ., Zhumadian, China

fYear

2012

fDate

23-25 March 2012

Firstpage

1

Lastpage

4

Abstract

This paper studies a differential-algebraic economic prey-predator system with non-selective harvesting effort. Local stability analysis of the system reveals that there is a phenomenon of singularity induced bifurcation due to variation of the economic interest of harvesting, and a state feedback controller is designed to stabilize the proposed system at the interior equilibrium. Finally, numerical simulations are performed for justifying the theoretical results.

Keywords

bifurcation; control system synthesis; differential algebraic equations; predator-prey systems; stability; state feedback; differential-algebraic biological economic system; differential-algebraic economic prey-predator system; harvesting economic interest; local stability analysis; nonselective harvesting effort; numerical simulations; renewable resource management; singularity induced bifurcation; state feedback controller design; Bifurcation; Biological system modeling; Economics; Mathematical model; Stability analysis; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Science and Technology (ICIST), 2012 International Conference on

Conference_Location

Hubei

Print_ISBN

978-1-4577-0343-0

Type

conf

DOI

10.1109/ICIST.2012.6221597

Filename

6221597