Global attractivity of a kind of difference equations (Q2751005)

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scientific article; zbMATH DE number 1663237
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Global attractivity of a kind of difference equations
scientific article; zbMATH DE number 1663237

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    5 February 2003
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    global attractivity
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    difference equations
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    autonomous discrete logistic model
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    positive initial value
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    Global attractivity of a kind of difference equations (English)
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    The authors give a sufficient condition for solutions of the autonomous discrete logistic model \(X_{n+1}=X_n \exp[r_n(1-X_n)]\) having a positive initial value \(X_0\) to satisfy \(\lim_{n\to\infty}X_n=1.\)
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