A discrete predator-prey system with age-structure for predator and natural barriers for prey (Q2781509)
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scientific article; zbMATH DE number 1721510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discrete predator-prey system with age-structure for predator and natural barriers for prey |
scientific article; zbMATH DE number 1721510 |
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A discrete predator-prey system with age-structure for predator and natural barriers for prey (English)
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20 March 2002
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discrete predator-prey model
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persistence
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age-structure
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natural barrier
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discrete dynamic system
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stability trichotomy
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The authors analyze a two species discrete predator-prey model, where the prey disperses between two patches of a heterogeneous environment with barriers. Predators are classified as ``mature'', which disperse between the patches with no barrier, and ``immature'', which do not feed on prey. By using the discrete dynamic system generated by a monotone concave map for subcommunity of prey and using the stability trichotomy results on a monotone and continuous operator, some sufficient conditions for permanence of species are obtained. These results are applied to models with rational growth functions and exponential growth functions.
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