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Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (12): 1679-1689 .doi: https://doi.org/10.1007/s10483-007-1215-y

• Articles • Previous Articles    

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

JIAO Jian-jun, CHEN Lan-sun   

    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:2007-03-15 Revised:2007-08-20 Online:2007-12-18 Published:2007-12-18
  • Contact: JIAO Jian-jun

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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.

Key words: null

2010 MSC Number: 

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