A Class of Prey-predator System with Impulsive State Feedback Control

摘要：

This paper studies systematically a class of prey-predator system with harvesting and impulsive state feedback control. Conditions for existence and stability of predator-free periodic solution are obtained. When the predator-free periodic solution loses its stability, the existence and stability of nontrivial period solution are also established. Furthermore, computer simulations show that this impulsive system displays a series of complex phenomena, including period-doubling bifurcation. Moreover, the superiority of impulsive state feedback control strategy is also exhibited over the impulsive fixed-time control.

关键词： impulsive state feedback period-doubling bifurcation prey-predator system

作者: Yi Zhang Qingling Zhang

作者单位: Institute of Systems Science,Northeastern University, Shenyang 110819, China;School of Science,Sheny Institute of Systems Science,Northeastern University, Shenyang 110819, China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1032-1037

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）