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.
出处
《应用数学》
CSCD
北大核心
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)
