脉冲状态反馈控制Holling-Tanner模型的周期解（英文）  

Periodic Solution of Holling-Tanner Model with Impulsive State Feedback Control

作　　者：周泽文[1] 梁志清[1,2] 曾夏萍[1,2] 黄军华[1] 

机构地区：[1]玉林师范学院数学与统计学院,广西玉林537000 [2]广西高校复杂系统优化与大数据处理重点实验室,广西玉林537000

出　　处：《应用数学》2017年第3期576-588,共13页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(61364020,11361068);the Major Research Programmes of Yulin Normal University of P.R.China(2015YJZD02)

摘　　要：本文研究一类脉冲状态反馈控制Holling-Tanner模型.在连续系统的正平衡点全局渐近稳定的情况下,利用半连续动态系统的几何理论和后继函数的方法,获得脉冲系统阶1周期解存在唯一且轨道稳定的充分条件,并通过数值模拟验证了主要结论.In this paper, the Holling-Tanner model with impulsive state feedback control is investigated. For the case that the positive equilibrium of the continuous system is global asymptotically stable, by using the geometric theory of differential equations and the method of successor functions, we obtain the existence, uniqueness and orbital asymptotically stability of order-1 periodic solution for the impulsive system, and the mathematical results are verified by the numerical simulations.

关 键 词：Holling-Tanner模型 全局渐近稳定 后继函数 阶-1周期解 脉冲状态反馈控制 

分 类 号：O175[理学—数学]