Title :
Bifurcation and control of a ratio-dependent bioeconomic model with time delay
Author :
Xin-You Meng ; Qing-Ling Zhang
Author_Institution :
Inst. of Appl. Math., Lanzhou Univ. of Technol., Lanzhou, China
Abstract :
In this paper, a singular delayed biological economic predator-prey system with ratio-dependent function is proposed. The conditions of singularity induced bifurcation and saddle-node bifurcation are gained and the existence of Hopf bifurcation are obtained by analyzing the distribution of roots of the corresponding characteristic equation, respectively. Further, a state feedback controller is designed to eliminate the singularity induced bifurcation and the hybrid control strategy is used to adjust the occurrence of Hopf bifurcation. Finally, numerical simulations are concluded to check the analytic results.
Keywords :
bifurcation; biocontrol; control system synthesis; delays; predator-prey systems; state feedback; Hopf bifurcation; characteristic equation; hybrid control strategy; numerical simulations; ratio-dependent bioeconomic model; ratio-dependent function; saddle-node bifurcation conditions; singular delayed biological economic predator-prey system; singularity induced bifurcation; singularity induced bifurcation conditions; state feedback controller design; time delay; Bifurcation; Biology; Delays; Economics; Stability analysis; State feedback; Hopf bifurcation; Hybrid control strategy; Ratio-dependent; Singularity induced bifurcation; State feedback control;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162629
