On the uniqueness of the coexistence state of predator-prey systems on \(\mathbb R^1\) (Q1854101)
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scientific article; zbMATH DE number 1858771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the uniqueness of the coexistence state of predator-prey systems on \(\mathbb R^1\) |
scientific article; zbMATH DE number 1858771 |
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On the uniqueness of the coexistence state of predator-prey systems on \(\mathbb R^1\) (English)
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26 January 2003
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The predator-prey type reaction-diffusion system on the whole real line is studied. The authors prove that there is at most one coexistence steady state (both components are nonzero). In the proof there are used the previous results for an analogous problem on a bounded interval and the result on the invertibility of certain non-cooperative linear elliptic systems.
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reaction-diffusion system
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coexistence steady state
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0.883461594581604
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0.8511448502540588
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0.8486711382865906
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