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

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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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Authors and Affiliations

  1. School of Mathematics and Statistics, Guizhou College of Finance & Economics, Guiyang, 550004, P. R. China

    Jiao Jian-jun  (焦建军)

  2. Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P. R. China

    Jiao Jian-jun  (焦建军) & Chen Lan-sun  (陈兰荪)

Authors
  1. Jiao Jian-jun  (焦建军)
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  2. Chen Lan-sun  (陈兰荪)
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Corresponding author

Correspondence to Jiao Jian-jun  (焦建军).

Additional information

Communicated by GUO Xing-ming

Project supported by the National Natural Science Foundation of China (No. 10471117) and the Leading Academic Discipline Project of Guizhou Province

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Jiao, Jj., Chen, Ls. Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey. Appl. Math. Mech.-Engl. Ed. 28, 1679–1689 (2007). https://doi.org/10.1007/s10483-007-1215-y

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  • DOI: https://doi.org/10.1007/s10483-007-1215-y

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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