Permanence and positive periodic solutions of a discrete delay competitive system (Q980799)
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scientific article; zbMATH DE number 5728627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Permanence and positive periodic solutions of a discrete delay competitive system |
scientific article; zbMATH DE number 5728627 |
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Permanence and positive periodic solutions of a discrete delay competitive system (English)
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29 June 2010
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Summary: A discrete time non-autonomous two-species competitive system with delays is proposed, which involves the influence of many generations on the density of the species population. Sufficient conditions for permanence of the system are given. When the system is periodic, by using the continuity theorem of coincidence degree theory and constructing a suitable Lyapunov discrete function, sufficient conditions which guarantee the existence and global attractivity of positive periodic solutions are obtained. As an application, examples and their numerical simulations are presented to illustrate the feasibility of our main results.
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