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A stage structure pest management model with impulsive state feedback control

文献类型： 外文期刊

作者： Pang, Guoping 1 ; Chen, Lansun 2 ; Xu, Weijian 1 ; Fu, Gang 3 ;

作者机构： 1.Yulin Normal Univ, Coll Math & Informat Sci, Guangxi Univ, Key Lab Complex Syst Optimizat & Big Data Proc, Yulin 537000, Guangxi, Peoples R China

2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

3.Guangxi Acad Agr Sci, Microbiol Res Inst, Nanning 530007, Peoples R China

关键词： Stage structure;Impulsive state feedback control;Order-1 periodic solution;Existence;Stability

期刊名称：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION （ 影响因子：4.26； 五年影响因子：3.852 ）

ISSN： 1007-5704

年卷期： 2015 年 23 卷 1-3 期

页码：

收录情况： SCI

摘要： A stage structure pest management model with impulsive state feedback control is investigated. We get the sufficient condition for the existence of the order-1 periodic solution by differential equation geometry theory and successor function. Further, we obtain a new judgement method for the stability of the order-1 periodic solution of the semi-continuous systems by referencing the stability analysis for limit cycles of continuous systems, which is different from the previous method of analog of Poincare criterion. Finally, we analyze numerically the theoretical results obtained. (C) 2014 Elsevier B.V. All rights reserved.

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