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Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response

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  • Runxin Wu
  • Lin Li

Abstract

By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the discrete predator-prey system with Hassell-Varley type functional response are obtained. Example together with its numerical simulation shows that the main results are verifiable.

Suggested Citation

  • Runxin Wu & Lin Li, 2009. "Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-17, June.
    • Handle: RePEc:hin:jnddns:323065
    DOI: 10.1155/2009/323065
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    Cited by:

    1. Jialin Chen & Xiaqing He & Fengde Chen, 2021. "The Influence of Fear Effect to a Discrete-Time Predator-Prey System with Predator Has Other Food Resource," Mathematics, MDPI, vol. 9(8), pages 1-20, April.

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