On the recursive system \(x_{n+1} = A + \frac {x_{n-m}}{y_{n}}, y_{n+1} = B +\frac {y_{n-m}}{x_{n}}\) (Q2850103)
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scientific article; zbMATH DE number 6212349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the recursive system \(x_{n+1} = A + \frac {x_{n-m}}{y_{n}}, y_{n+1} = B +\frac {y_{n-m}}{x_{n}}\) |
scientific article; zbMATH DE number 6212349 |
Statements
26 September 2013
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difference equation
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boundedness
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persistence
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global asymptotic stability
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system of rational difference equation
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positive solutions
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On the recursive system \(x_{n+1} = A + \frac {x_{n-m}}{y_{n}}, y_{n+1} = B +\frac {y_{n-m}}{x_{n}}\) (English)
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The boundedness, persistence and global asymptotic stability of positive solutions are studied for two parametric planar maps involving fraction nonlinearities.
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