Title :
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
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;
Conference_Titel :
Information Science and Technology (ICIST), 2012 International Conference on
Conference_Location :
Hubei
Print_ISBN :
978-1-4577-0343-0
DOI :
10.1109/ICIST.2012.6221597
