Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-10-01

Journal: MATHEMATICS AND COMPUTERS IN SIMULATION

Included Journals: EI、SCIE、Scopus

Volume: 82

Issue: 2

Page Number: 318-331

ISSN: 0378-4754

Key Words: Impulsive differential equations; Periodic solution; Predator-prey system; Stability; State-dependent

Abstract: 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.