Dynamics and Control in a Differential-algebraic Prey-predator Model

摘要：

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.

关键词： Differential-algebraic Model Bifurcation Harvest Effort and Economic Interest

作者: Chao Liu Qingling Zhang Jixin Wang

作者单位: Department of Information and Computational Science, Northeastern University at Qinhuangdao, Qinhuan Institute of Systems Science, Northeastern University, Shenyang 110004, P.R. China Automation Engineering Institute, Beijing Vocational College of Electronic Science, Beijing, 102600,

会议类型: 国际会议

会议名称: 2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

会议地点: 广西桂林

会议语种:英文

页码: 3052-3057

在线出版日期: 2009-06-17（万方平台首次上网日期，不代表论文的发表时间）