Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (4): 541-551 .doi: https://doi.org/10.1007/s10483-007-0415-y

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Nonlinear incidence rate of a pest management SI model with biological and chemical control concern

JIAO Jian-jun, CHEN Lan-sun   

    1. Department of Applied Mathematics, Dalian University of Technology,Dalian 116024, P. R. China;
    2. School of Mathematics and Statistics, Guizhou College of Finance and Economics,Guiyang 550004, P. R. China
  • Received:2006-08-11 Revised:2007-01-23 Online:2007-04-18 Published:2007-04-18
  • Contact: JIAO Jian-jun

Abstract: A pest management SI model with impulsive releases of infective pests and spraying pesticides is proposed and investigated. We prove that all solutions of the model are uniformly ultimately bounded. We also obtain the sufficient conditions of globally asymptotic stability periodic solution of pest-extinction and permanence of the model. The approach of combining impulsive releasing infective pests with impulsive spraying pesticides provides reliable tactical basis for the practical pest management.

2010 MSC Number: 

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