The Lotka-Volterra equation over a finite ring \(\mathbb{Z}/p^N\mathbb{Z}\) (Q2773101)
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scientific article; zbMATH DE number 1709252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Lotka-Volterra equation over a finite ring \(\mathbb{Z}/p^N\mathbb{Z}\) |
scientific article; zbMATH DE number 1709252 |
Statements
20 February 2002
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finite ring
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Lotka-Volterra equation
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\(p\)-adic space
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0.8453016
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0.8442251
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0.8427623
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0.8394803
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0.83893436
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The Lotka-Volterra equation over a finite ring \(\mathbb{Z}/p^N\mathbb{Z}\) (English)
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The discrete Lotka-Volterra equation NEWLINE\[NEWLINEc_n^{m+1} (1+\delta_p c_{n+1}^{m+1}) =c_n^m(1+ \delta_pc_{n-1}^m)NEWLINE\]NEWLINE over \(p\)-adic space is solved by projection to the family of rings \(\mathbb{Z}/p^n\mathbb{Z}\). In particular, the case \(\delta_p=p\) is pointed out.
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