计算机工程与应用 ›› 2016, Vol. 52 ›› Issue (20): 231-234.
• 工程与应用 • 上一篇 下一篇
宋 燕，姜 威，张庭婷
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SONG Yan, JIANG Wei, ZHANG Tingting
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摘要： 研究具有状态依赖脉冲控制的无公害害虫管理模型，利用微分方程几何理论中后继函数法得到系统阶一周期解存在的充分条件，证明该周期解是轨道渐近稳定的，并对系统进行了数值模拟。
关键词: 状态依赖脉冲微分方程, 阶一周期解, 后继函数, 稳定性
Abstract: A non-polluted pest management model with state-dependent impulsive control is established. By using successor function of differential equation geometry, the sufficient conditions for the existence and orbital asymptotic stability of order 1 periodic solution are obtained. Finally, numerical simulations are carried out to illustrate the main results.
Key words: state-dependent impulsive differential equation, order 1 periodic solution, successor function, stability
宋 燕，姜 威，张庭婷. 具有状态依赖脉冲控制的无公害害虫管理模型[J]. 计算机工程与应用, 2016, 52(20): 231-234.
SONG Yan, JIANG Wei, ZHANG Tingting. Non-polluted pest management model with state-dependent impulsive control[J]. Computer Engineering and Applications, 2016, 52(20): 231-234.
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