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Permanence and Almost Periodic Solutions of a Discrete Ratio‐Dependent Leslie System with Time Delays and Feedback Controls

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  • Gang Yu
  • Hongying Lu

Abstract

We consider a discrete almost periodic ratio‐dependent Leslie system with time delays and feedback controls. Sufficient conditions are obtained for the permanence and global attractivity of the system. Furthermore, by using an almost periodic functional Hull theory, we show that the almost periodic system has a unique globally attractive positive almost periodic solution.

Suggested Citation

  • Gang Yu & Hongying Lu, 2012. "Permanence and Almost Periodic Solutions of a Discrete Ratio‐Dependent Leslie System with Time Delays and Feedback Controls," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:358594
    DOI: 10.1155/2012/358594
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    References listed on IDEAS

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    1. J. Diblík & M. Růžičková & Z. Å marda & Z. Å utá, 2012. "Asymptotic Convergence of the Solutions of a Dynamic Equation on Discrete Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-20, January.
    2. J. Diblík & M. Růžičková & Z. Šmarda & Z. Šutá, 2012. "Asymptotic Convergence of the Solutions of a Dynamic Equation on Discrete Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. L. Berezansky & J. Diblík & M. Růžičková & Z. Šutá, 2011. "Asymptotic Convergence of the Solutions of a Discrete Equation with Two Delays in the Critical Case," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-15, June.
    4. L. Berezansky & J. Diblík & M. Růžičková & Z. Šutá, 2011. "Asymptotic Convergence of the Solutions of a Discrete Equation with Two Delays in the Critical Case," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
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    Cited by:

    1. Hengguo Yu & Min Zhao & Qi Wang, 2013. "Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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