Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968249
