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Effects of pulse culling on population growth of migratory birds and economical birds

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Abstract

An increased number of economical birds is one of the major threats affecting migratory birds population. In this paper, we consider two competing species: rare migratory bird and economical bird, and investigate a nonautonomous two species competitive model with a Holling-type II functional response, which the pulse culling is incorporated. By utilizing an analyzing method, sufficient and realistic conditions on permanence, extinction of the two species, existence of positive periodic solution, and the global attractivity of semitrivial periodic solution are established. The theoretical results are confirmed by numerical simulations.

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Authors and Affiliations

  1. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, 341000, P.R. China

    Fumin Zhang, Shujing Gao & Yan Zhang

Authors
  1. Fumin Zhang
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  2. Shujing Gao
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  3. Yan Zhang
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Correspondence to Shujing Gao.

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Zhang, F., Gao, S. & Zhang, Y. Effects of pulse culling on population growth of migratory birds and economical birds. Nonlinear Dyn 67, 767–779 (2012). https://doi.org/10.1007/s11071-011-0025-3

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  • DOI: https://doi.org/10.1007/s11071-011-0025-3

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