作者: Guoping Pang , Zhiqing Liang , Weijian Xu , Lijie Li , Gang Fu
DOI: 10.1155/2015/617379
关键词: Poincaré conjecture 、 State (functional analysis) 、 Stability (probability) 、 Structure (category theory) 、 Differential equation 、 Control theory 、 Mathematics 、 Limit (mathematics) 、 Successor function 、 Stage (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.