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Indexed by:期刊论文

Date of Publication:2016-09-01

Journal:MATHEMATICAL BIOSCIENCES

Included Journals:SCIE、EI、PubMed、Scopus

Volume:279

Page Number:13-26

ISSN No.:0025-5564

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

Abstract:This work presents a pest control predator prey model, where rate of change in prey density follows a scaling law with exponent less than one and the control is by an integrated management strategy. The aim is to investigate the change in system dynamics and determine a pest control level with minimum control price. First, the dynamics of the proposed model without control is investigated by taking the exponent as an index parameter. And then, to determine the frequency of spraying chemical pesticide and yield releases of the predator, the existence of the order-1 periodic orbit of the control system is discussed in cases. Furthermore, to ensure a certain robustness of the adopted control, i.e., for an inaccurately detected species density or a deviation, the control system could be stabilized at the order-1 periodic orbit, the stability of the order-1 periodic orbit is verified by an stability criterion for a general semi-continuous dynamical system. In addition, to minimize the total cost input in pest control, an optimization problem is formulated and the optimum pest control level is obtained. At last, the numerical simulations with a specific model are carried out to complement the theoretical results. (C) 2016 Elsevier Inc. All rights reserved.