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论文类型：期刊论文

发表时间：2011-10-01

发表刊物：MATHEMATICS AND COMPUTERS IN SIMULATION

收录刊物：Scopus、SCIE、EI

卷号：82

期号：2

页面范围：318-331

ISSN号：0378-4754

关键字：Impulsive differential equations; Periodic solution; Predator-prey system; Stability; State-dependent

摘要：In this work, according to integrated pest management principles, a class of predator prey system with state-dependent impulsive effects is put forward. In this model, the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. The sufficient conditions for the existence and stability of the semi-trivial periodic solution and the positive order-1 periodic solution are given by the Poincare map and the properties of the Lambert W function. In addition, to verify the feasibility of our main results, the numerical simulations are carried out. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.