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Global attractivity in a logistic growth model with feedback regulation and several delays - MaRDI portal

Global attractivity in a logistic growth model with feedback regulation and several delays (Q2767461)

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scientific article; zbMATH DE number 1697483
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Global attractivity in a logistic growth model with feedback regulation and several delays
scientific article; zbMATH DE number 1697483

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    25 August 2002
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    logistic growth model
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    global attractivity
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    feedback
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    Global attractivity in a logistic growth model with feedback regulation and several delays (English)
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    The authors study the following logistic growth model with feedback regulation and several delays: NEWLINE\[NEWLINE\frac{dn(t)}{dt}= r(t)n(t) \left[1- \frac{\sum_{i=1}^m a_in(t-\tau_i)} {k}- c\mu(t)\right],\qquad \frac{d\mu(t)}{dt}= -a\mu(t)+ bn(t-\tau_{m+1}).NEWLINE\]NEWLINE Sufficient conditions which guarantee the global attractivity of a positive equilibrium are given. Some known results are improved and generalized.
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