Dynamics and control in a differential-algebraic prey-predator model

Author

Liu, Chao ; Zhang, QingLing ; Wang, Jixin

Author_Institution

Dept. of Inf. & Comput. Sci., Northeastern Univ. at Qinhuangdao, Qinhuangdao, China

fYear

2009

fDate

17-19 June 2009

Firstpage

3052

Lastpage

3057

Abstract

A differential-algebraic model is proposed, which investigates a prey-predator system with stage structure for predator and harvest effort on mature predator. By using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around interior equilibrium is discussed. Furthermore, instability mechanism of the proposed model due to variation of economic interest of harvesting is studied. With the purpose of stabilizing the proposed model system around the interior equilibrium, a state feedback controller is designed. Finally, numerical simulations are carried out to show the consistency with theoretical analysis.

Keywords

bifurcation; control system synthesis; differential algebraic equations; predator-prey systems; stability; state feedback; bifurcation theory; differential-algebraic prey-predator model; differential-algebraic system theory; instability mechanism; interior equilibrium; mature predator; prey-predator system; stage structure; state feedback controller design; Aerodynamics; Bifurcation; Biological system modeling; Biological systems; Chaos; Differential equations; Power generation economics; Power system dynamics; Power system economics; Power system modeling; Bifurcation; Differential-algebraic Model; Economic Interest; Harvest Effort;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5192821

Filename

5192821