Existence and global stability of positive periodic solutions of a discrete delay competition system (Q1415094)
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scientific article; zbMATH DE number 2012546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and global stability of positive periodic solutions of a discrete delay competition system |
scientific article; zbMATH DE number 2012546 |
Statements
Existence and global stability of positive periodic solutions of a discrete delay competition system (English)
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3 December 2003
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Summary: The existence and global stability of positive periodic solutions of a discrete competition model is studied. The model incorporates time delays and allows for a fluctuating environment. By means of some standard procedures of the topological degree method and the construction of a suitable Lyapunov function, sufficient conditions are obtained to ensure the existence and the global stability of positive periodic solutions of the above systems.
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