Global stability in some population models (Q2751631)
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scientific article; zbMATH DE number 1664982
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global stability in some population models |
scientific article; zbMATH DE number 1664982 |
Statements
10 July 2002
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eventually periodic solutions
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global stability
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difference equations
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population models
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0.96127176
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0.9595144
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0.9562206
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0.94605684
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0.9440476
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0.9420166
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Global stability in some population models (English)
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We study the global stability of the difference equations NEWLINE\[NEWLINEx_{n+1}= (ax_n+bx_{n-1} e^{-x_{n-1}}) e^{-x_n},\;n=0,1,\dotsNEWLINE\]NEWLINE and NEWLINE\[NEWLINEy_{n+1}= (\alpha y_n+ \beta y_{n-1}) e^{-y_n},\;n=0,1, \dotsNEWLINE\]NEWLINE which are interesting in their own right, but which may also be viewed as describing some population models.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00041].
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