Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes (Q1431977)
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scientific article; zbMATH DE number 2073815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes |
scientific article; zbMATH DE number 2073815 |
Statements
Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes (English)
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11 June 2004
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The authors present a two-dimensional differential system modeling a predator-prey food chain, and based on a modified version of the Leslie-Gower scheme and on the Holling-type II scheme. The main result is given in terms of boundedness of solutions, existence of an attracting set and global stability of the coexisting interior equilibrium.
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positive periodic solution
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food chain system
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diffusion
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coincidence degree theory
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0.9757558
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0.9626285
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