Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls (Q1009423)
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scientific article; zbMATH DE number 5538682
| Language | Label | Description | Also known as |
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| English | Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls |
scientific article; zbMATH DE number 5538682 |
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Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls (English)
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1 April 2009
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Summary: A ratio-dependent predator-prey system with Holling type III functional response and feedback controls is proposed. By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the system are obtained. After that, under some suitable conditions, we show that the predator species \(y\) will be driven to extinction. Examples together with their numerical simulations show that the main results are verifiable.
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ratio-dependent predator-prey system
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Holling type III functional response
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feedback controls
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Lyapunov function
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difference equation
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permanence
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global attractivity
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