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Indexed by:期刊论文

Date of Publication:2017-01-01

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、ESI高被引论文

Volume:292

Page Number:253-271

ISSN No.:0096-3003

Key Words:Integrated pest management; Optimization; Order-1 periodic orbit; Predator-prey system; Stability

Abstract:Pest management is a complex issue in real applications, and a practical program in pest control in general involves two pest thresholds, where the biological control and chemical control are activated respectively. Aiming at providing a good balance between the biological control and chemical control, this work presented an integrated pest management predator-prey model, where the yield of releases of predator and the strength of pesticide spraying are linearly dependent on the selected control level. Firstly, to determine the frequency of spraying chemical pesticide and releasing of predator, the existence of the order 1 periodic orbit of the proposed model is discussed by the successor function method. And then, to ensure a certain robustness of adopted control, the stability of the order-1 periodic orbit is verified by a stability criterion extracted for a general semi-continuous dynamical system. In addition, to minimize the total cost (i.e. culturing predators and spraying pesticide) in pest control, an optimization problem is formulated and the optimum pest control level is obtained. At last, to complement the theoretical results, the numerical simulations with a specific model are carried out step by step. (C) 2016 Elsevier Inc. All rights reserved.