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Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey

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    1. School of Mathematics and Statistics, Guizhou College of Finance & Economics, Guiyang 550004, P. R. China;
    2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China

Received date: 2007-03-15

  Revised date: 2007-08-20

  Online published: 2007-12-18

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Abstract

We consider a delayed stage-structured pest management predator-prey system with impulsive transmitting on predator and chemical control on prey. Sufficient conditions of the global attractiveness of the pest-extinction boundary periodic solution and permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactical basis for practical pest management.

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Cite this article

JIAO Jian-jun;CHEN Lan-sun . Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey[J]. Applied Mathematics and Mechanics, 2007 , 28(12) : 1679 -1689 . DOI: 10.1007/s10483-007-1215-y

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