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Analysis of a Stage-Structured Predator-Prey System Concerning Impulsive Control Strategy

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Abstract

Based on integrated pest management, a stage-structured predator-prey system with Holling type-II functional response concerning impulsive control strategy is investigated. By the Floquet theory and small amplitude perturbation skills, it is proved that there exists a globally stable pest-eradication periodic solution when the impulsive period is less than some critical values. Further, sufficient conditions for the permanence of the system is established. Numerical simulations are carried out to illustrate the effect of impulses on the dynamics of the system.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hebei University of Economics & Business, Shijiazhuang, 050061, People’s Republic of China

    Lingshu Wang

  2. Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, People’s Republic of China

    Lingshu Wang, Rui Xu & Guanghui Feng

Authors
  1. Lingshu Wang
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  2. Rui Xu
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  3. Guanghui Feng
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Correspondence to Lingshu Wang.

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Wang, L., Xu, R. & Feng, G. Analysis of a Stage-Structured Predator-Prey System Concerning Impulsive Control Strategy. Differ Equ Dyn Syst 19, 303–313 (2011). https://doi.org/10.1007/s12591-011-0092-4

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  • DOI: https://doi.org/10.1007/s12591-011-0092-4

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