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Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge

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  • Xia Liu
  • Yepeng Xing

Abstract

A predator prey system with Holling III functional response and constant prey refuge is considered. By using the Dulac criterion, we discuss the global stability of the positive equilibrium of the system. By transforming the system to a Liénard system, the conditions for the existence of exactly one limit cycle for the system are given. Some numerical simulations are presented.

Suggested Citation

  • Xia Liu & Yepeng Xing, 2012. "Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-11, December.
    • Handle: RePEc:hin:jnddns:678957
    DOI: 10.1155/2012/678957
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