Persistence in three-dimensional Lotka-Volterra systems (Q1095844)
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scientific article; zbMATH DE number 4029342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Persistence in three-dimensional Lotka-Volterra systems |
scientific article; zbMATH DE number 4029342 |
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Persistence in three-dimensional Lotka-Volterra systems (English)
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1988
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An ecosystem is persistent if for any initial configuration, each component population which is initially present in the system is bounded away from zero in the long run. Using a recent dynamical system approach developed by the authors, J. Differ. Equations 63, 255-263 (1986; Zbl 0603.58033), we obtain a criterion for the persistence of three- dimensional Lotka-Volterra systems. Except for the case of ``intransitive'' competition, the criterion is easily computable.
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limit cycles
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critical points
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hyperbolic
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persistence of three- dimensional Lotka-Volterra systems
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0.9349202
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0.92416596
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0.9192468
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0.91403663
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