Boundedness of three-species cyclic predator-prey systems which lack some self-limiting terms (Q1328985)
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scientific article; zbMATH DE number 597556
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of three-species cyclic predator-prey systems which lack some self-limiting terms |
scientific article; zbMATH DE number 597556 |
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Boundedness of three-species cyclic predator-prey systems which lack some self-limiting terms (English)
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29 June 1994
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The author deals with a three species cyclic predator-prey system of Lotka-Volterra type where each species remains bounded in the absence of the other two. By using some facts from the Perron-Frobenius theory on nonnegative matrices he provides necessary and sufficient conditions for all solutions (with positive initial values) to remain bounded.
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Lotka-Volterra system
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three species cyclic predator-prey system
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Perron- Frobenius theory
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necessary and sufficient conditions
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positive initial values
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0.9138648
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0.9036037
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0.9024474
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0.8933749
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0.8914803
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0.8909364
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0.89044154
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