A Pest Management Model with Stage Structure and Impulsive State Feedback Control

A pest management model with stage structureand impulsive state feedback control is investigated. We get thesufficient condition for the existence of the order-1 periodicsolution by differential equation geometry theory and successorfunction. Further, we obtain a new judgement method for thestabilit...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society 2015-01, Vol.2015 (2015), p.141-152-214
Main Authors: Li, Lijie, Xu, Weijian, Liang, Zhiqing, Pang, Guoping, Fu, Gang
Format: Article
Language:English
Subjects:
Biological control
Criteria
Differential equations
Feedback control
Management
Mathematical analysis
Mathematical models
Pests
Referencing
State feedback
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Summary:A pest management model with stage structureand impulsive state feedback control is investigated. We get thesufficient condition for the existence of the order-1 periodicsolution by differential equation geometry theory and successorfunction. Further, we obtain a new judgement method for thestability of the order-1 periodic solution of the semicontinuoussystems by referencing the stability analysis for limit cycles ofcontinuous systems, which is different from the previous method ofanalog of Poincarè criterion. Finally, we analyze numericallythe theoretical results obtained.
ISSN:1026-0226
1607-887X
DOI:10.1155/2015/617379