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Indexed by:期刊论文

Date of Publication:2010-09-15

Journal:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Included Journals:SCIE、EI、Scopus

Volume:234

Issue:10

Page Number:2916-2923

ISSN No.:0377-0427

Key Words:Impulsive differential equations; State-dependent; Lotka-Volterra predator-prey system; Periodic solution

Abstract:In this paper, according to integrated pest management principles, a class of Lotka-Volterra predator-prey model with state dependent impulsive effects is presented. 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 positive order-1 periodic solution are given by the Poincare map and the properties of the LambertW function. (C) 2010 Elsevier B.V. All rights reserved.