Singularity Induced Bifurcation and Control in Bio-economic Model
In this paper,a differential-algebraic model system which considers a prey-predator system with stage structure for prey and harvest effort on predator is proposed. By using the differential-algebraic system theory and bifurcation theory, dynamic behavior of the proposed model system is investigated. Local stability analysis of the model system reveals that there is a phenomenon of singularity induced bifurcation due to variation of the economic interest of harvesting, and state feedback controllers are designed to stabilize the proposed model system at the interior equilibrium.Finally, numerical simulations are carried out to show the consistency with theoretical analysis obtained in this paper.
prey-predator differential-algebraic system stage structure control
Liqiong Gui Chao Liu
Institute of Systems Science,Northeastern University,Shenyang,110004, PR China
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
569-574
2011-06-01(万方平台首次上网日期,不代表论文的发表时间)