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Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n -Species Gilpin-Ayala Competitive Systems with Impulses

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  • Juan Hou
  • Hanhui Liu

Abstract

The qualitative properties of general nonautonomous n -species Gilpin-Ayala competitive systems with impulsive effects are studied. Some new criteria on the permanence, extinction, and global attractivity of partial species are established by using the methods of inequalities estimate and Liapunov functions.

Suggested Citation

  • Juan Hou & Hanhui Liu, 2012. "Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n -Species Gilpin-Ayala Competitive Systems with Impulses," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-19, July.
  • Handle: RePEc:hin:jnddns:150841
    DOI: 10.1155/2012/150841
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