Persistence and average persistence of a nonautonomous Kolmogorov system (Q939465)
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scientific article; zbMATH DE number 5315353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Persistence and average persistence of a nonautonomous Kolmogorov system |
scientific article; zbMATH DE number 5315353 |
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Persistence and average persistence of a nonautonomous Kolmogorov system (English)
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22 August 2008
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The authors consider a two-species nonautonomous Kolmogorov type predator-prey system \[ x' = xf(t,x,y) , \quad y' = yg(t,x,y) . \] Sufficient and necessary conditions for the persistence and average persistence, respectively, are given in two theorems. Consequences of this for Lotka-Volterra, Holling and chemostat type systems are discussed. Also, the equivalence of persistence of several kinds for the case of almost periodic (or periodic) systems of the considered type is discussed.
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predator-prey systems
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Kolmogorov
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Lotka-Volterra
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Holling type
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chemostat type
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0.92304444
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0.90723026
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0.9055103
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0.9024308
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0.90151525
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0.89582074
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0.8937627
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