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

作者: Guoping Pang , Zhiqing Liang , Weijian Xu , Lijie Li , Gang Fu

DOI: 10.1155/2015/617379

关键词: Poincaré conjectureState (functional analysis)Stability (probability)Structure (category theory)Differential equationControl theoryMathematicsLimit (mathematics)Successor functionStage (hydrology)

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

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