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Periodic property and asymptotic behavior for a discrete ratio-dependent food-chain system with delays - MaRDI portal

Periodic property and asymptotic behavior for a discrete ratio-dependent food-chain system with delays (Q2195511)

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Periodic property and asymptotic behavior for a discrete ratio-dependent food-chain system with delays
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    Periodic property and asymptotic behavior for a discrete ratio-dependent food-chain system with delays (English)
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    26 August 2020
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    Summary: 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.
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