Nonlinear analysis of a microbial pesticide model with impulsive state feedback control

被引：22
|
作者：
Wang, Tieying [1 ,2 ]
Chen, Lansun [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Dalian Nationalities Univ, Coll Sci, Dalian 116605, Peoples R China
来源：
NONLINEAR DYNAMICS | 2011年 / 65卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Entomopathogenic nematode; Impulsive effect; State feedback control; Poincare map; Singular periodic solution; PREDATOR-PREY SYSTEM; PEST-CONTROL; MANAGEMENT; STABILITY;
D O I：
10.1007/s11071-010-9828-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a new mathematical model for the entomopathogenic nematode attacking pests with impulsive state feedback control is considered. By using the Poincar, 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.
引用
收藏
页码：1 / 10
页数：10
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