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Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses

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  • Hongli Li
  • Long Zhang
  • Zhidong Teng
  • Yaolin Jiang

Abstract

A class of Holling type II predator-prey systems with mutual interference and impulses is presented. Sufficient conditions for the permanence, extinction, and global attractivity of system are obtained. The existence and uniqueness of positive periodic solution are also established. Numerical simulations are carried out to illustrate the theoretical results. Meanwhile, they indicate that dynamics of species are very sensitive with the period matching between species’ intrinsic disciplinarians and the perturbations from the variable environment. If the periods between individual growth and impulse perturbations match well, then the dynamics of species periodically change. If they mismatch each other, the dynamics differ from period to period until there is chaos.

Suggested Citation

  • Hongli Li & Long Zhang & Zhidong Teng & Yaolin Jiang, 2014. "Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-13, May.
    • Handle: RePEc:hin:jnddns:793761
    DOI: 10.1155/2014/793761
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    Cited by:

    1. Kooij, Robert E. & Zegeling, André, 2019. "Predator-prey models with non-analytical functional response," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 163-172.

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