Permanence and almost periodic solution of a predator-prey discrete system with Holling IV functional response (Q2799326)

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scientific article; zbMATH DE number 6566899
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Permanence and almost periodic solution of a predator-prey discrete system with Holling IV functional response
scientific article; zbMATH DE number 6566899

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    8 April 2016
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    discrete-time predator-prey system
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    non-monotonic functional response
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    permanence
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    global attractivity
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    almost periodic solution
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    Permanence and almost periodic solution of a predator-prey discrete system with Holling IV functional response (English)
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    The authors consider a discrete predator prey model with non-monotone functional response and with variable rates. The model with variable rates is more general than that with constant rate. But at the same time, many observations cannot be made due to unavailability of the results. The authors establish permanence using a comparison principle. Furthermore, the existence of a global almost periodic solution is established. At the end, an example provides the pictorial view of the almost periodic solution.
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