摘要
本文研究具有状态反馈脉冲控制的比率依赖Holling-Tanner系统.在连续系统的正平衡点为不稳定焦点的前提下,利用微分方程几何理论及后继函数方法,获得脉冲系统阶1周期解的存在性、唯一性及轨道稳定性.利用数值模拟验证主要结论,并且数值结果得到在极限环内脉冲系统存在阶k周期解.最后,给出主要结论.
In this paper, a ratio-dependent Holling-Tanner system with state impulse is researched. Provided that the positive equilibrium is a unstable focus, by means of the geometry theory of the dif- ferential equation and the method of Successor function, the existence and uniqueness of order-1 periodic solution of impulsive system are obtained. The mathematical results are verified by the numerical simu- lations, moreover, numerical results show that the impulsive system has order-k periodic solutions within the limit cycle for some parameters. Finally, some main conclusions are proposed.
出处
《应用数学》
CSCD
北大核心
2017年第4期760-773,共14页
Mathematica Applicata
基金
国家自然科学基金(61364020
11361068)
玉林师范学院重点科研项目(2015yjzd02)
