摘要
建立了一类具有避难所和状态脉冲反馈控制的捕食-食饵模型,运用脉冲微分方程理论,研究了具有状态脉冲反馈控制的系统阶一周期解的存在性,得到了阶一周期解唯一及其稳定的充分条件.最后通过数值模拟验证结果的正确性.
A predator-prey system with refuge and state impulsive feedback control is established in this paper.The existence of order-1 periodic solution is studied by the theory of impulsive differential equations,and sufficient conditions of the uniqueness and stability for the periodic solutions are obtained. The feasibility of theoretical results is verified by numerical examples in the end.
作者
付胜男
刘春燕
李祖雄
FU Shengnan;LIU Chunyan;LI Zuxiong(School of Science,Hubei University for Nationalities,Enshi 445000,China)
出处
《湖北民族学院学报（自然科学版）》
CAS
2018年第3期293-299,共7页
Journal of Hubei Minzu University(Natural Science Edition)
基金
国家自然科学基金项目(11561022)
关键词
捕食-食饵
状态反馈控制
全局渐近稳定
周期解
脉冲效应
Predator-prey
state feedback control
global asymptotic stability
periodic solution
impulsive effect
