Stability of Lotka-Volterra model (Q1197067)
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scientific article; zbMATH DE number 90967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of Lotka-Volterra model |
scientific article; zbMATH DE number 90967 |
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Stability of Lotka-Volterra model (English)
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16 January 1993
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By assuming the positivity of the equilibrium state of a Lotka-Volterra model of \(n\) interacting species defined by \(x_ i'=x_ i(a_ i- \sum_{j=1}^ n b_{ij} x_ j)\), \(i=1,\dots,n\), sufficient conditions are given for the stability of the equilibrium state. The stability of the Lotka-Volterra model under random environmental perturbations is investigated.
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effects of randomness on stability
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Itô-type stochastic differential equation
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Lotka-Volterra model
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interacting species
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stability
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random environmental perturbations
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0.92588663
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0.9240253
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0.9233208
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0.91721725
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0.9142272
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