Title :
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
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;
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
DOI :
10.1109/CCDC.2009.5192821
