一类具有状态依赖脉冲控制的捕食-食饵模型的稳定性分析  

Stability analysis of a class of predator-prey models controlled with state-dependent impulse

作　　者：黄灿云[1] 邱慧 孟新友[1] HUANG Can-yun QIU Hui MENG Xin-you(School of Science, Lanzhou Univ. of Tech. , Lanzhou 730050, Chin)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2017年第5期144-149,共6页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11661050)

摘　　要：研究具有两个不同临界值进行状态依赖脉冲控制的HollingⅣ捕食-食饵模型.利用几何分析和后继函数方法证明系统一阶周期解的存在性,进一步利用类庞加莱准则给出一阶周期解渐近稳定的充分条件;通过数值模拟进一步说明所得理论结果的可靠性.Holling-Ⅳpredator-prey model controlled with state-dependent impulse and two different criticals is investigated.Using geometric analysis and successor function,the existence of first-order periodic solution of the system is proved.By quasi-Poincare＇s criterion,the sufficient condition for the orbital asymptotical stability of first-order periodic solution of the system.Moreover,the reliability of achieved theoretical result is shown by numerical simulation.

关 键 词：状态依赖 脉冲控制 一阶周期解 轨道稳定性 

分 类 号：O175.29[理学—数学]