Nonlinear analysis of a microbial pesticide model with impulsive state feedback control
Nonlinear analysis of a microbial pesticide model with impulsive state feedback control
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DOI：
10.1007/s11071-010-9828-x
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发表时间：
2011-07
影响因子：
5.6
通讯作者：
Tieying Wang;Lansun Chen
中科院分区：
文献类型：
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作者：
Tieying Wang;Lansun Chen
本文考虑了一种利用脉冲状态反馈控制的昆虫病原线虫攻击害虫的新数学模型。利用庞加莱图，我们得到脉冲状态反馈控制系统具有一阶周期解。给出了一阶周期解存在且稳定的充分条件。具体来说，系统具有奇异阶一周期解。在某些情况下，系统也可能具有二阶周期解。我们的结果表明，控制措施是有效和可靠的。
In this paper, a new mathematical model for the entomopathogenic nematode attacking pests with impulsive state feedback control is considered. By using the Poincaré map, we obtain that the system with impulsive state feedback control has a periodic solution of order one. Sufficient conditions for existence and stability of the order one periodic solution are given. Specifically, the system has a singular order one periodic solution. In some cases, it is possible that the system may also have an order two periodic solution. Our results show that the control measure is effective and reliable.