Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Volterra models (Q1769559)
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scientific article; zbMATH DE number 2151006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Volterra models |
scientific article; zbMATH DE number 2151006 |
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Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Volterra models (English)
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4 April 2005
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A nonautonomous competition system is investigated. The species \(x\) can diffuse between two patches of a heterogeneous environment with barriers between patches, but for the competitor species \(y\), the diffusion does not involve a barrier between patches. It is assumed that all parameters are time-dependent. It is shown that the system can be made persistent under some appropriate conditions. Sufficient conditions that guarantee the existence of a unique positive periodic orbit which is globally asymptotic stable are derived.
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diffusion
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periodic orbits
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global stability
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persistence
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Lotka-Volterra system
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