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Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model

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  • Guirong Liu
  • Xiaojuan Song

Abstract

We investigate a ratio-dependent predator-prey model with Holling type III functional response based on system of neutral impulsive differential equations. Sufficient conditions for existence of positive periodic solutions are obtained by applying continuation theorem. Our main results demonstrate that under the suitable periodic impulse perturbations, the neutral impulsive system preserves the periodicity of the corresponding neutral system without impulse. In addition, our results can be applied to the corresponding system without impulsive effect, and thus, extend previous results.

Suggested Citation

  • Guirong Liu & Xiaojuan Song, 2015. "Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-11, May.
    • Handle: RePEc:hin:jnddns:818506
    DOI: 10.1155/2015/818506
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