一类具有反馈控制的修正Leslie-Gower模型的周期解

被引：28

作者：

李祖雄 ^{[1
,2
]}

机构：

[1] 湖北省生物资源保护与利用重点实验室

[2] 湖北民族学院理学院

来源：

应用数学学报 | 2015年 / 38卷 / 01期

关键词：

修正的Leslie-Gower模型; 脉冲反馈控制; 全局渐近稳定性; 周期解;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

基于经济阈值理论,本文考虑一类具有脉冲反馈控制的修正Leslie-Gower模型,得到该系统阶一周期解的存在性和稳定性的充分条件;在某些情况下,该系统可能存在阶二周期解或阶三周期解.通过数值模拟验证了主要结果的正确性,本文的结果表明了控制策略是有效和可靠的.

引用

页码：37 / 52

页数：16

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