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Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays

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  • Changjin Xu
  • Peiluan Li
  • Maoxin Liao

Abstract

In this paper, a discrete ratio-dependent food-chain system with delay is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, a set of sufficient conditions for the existence of positive periodic solutions and global asymptotic stability of the model are established.

Suggested Citation

  • Changjin Xu & Peiluan Li & Maoxin Liao, 2020. "Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-12, July.
    • Handle: RePEc:hin:jnddns:9464532
    DOI: 10.1155/2020/9464532
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