Persistence and extinction in two species reaction-diffusion systems with delays (Q1303826)
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scientific article; zbMATH DE number 1339359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Persistence and extinction in two species reaction-diffusion systems with delays |
scientific article; zbMATH DE number 1339359 |
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Persistence and extinction in two species reaction-diffusion systems with delays (English)
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24 May 2000
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Two species predator- prey and competition reaction-diffusion systems with delays are considered. First uniform persistence criteria for these two types of systems are established. Current results on this subject are obtained by using a comparison argument. The abstract persistence theory and the infinite-dimensional dissipative system theory is used. In addition the global extinction of these systems are established, that is, the global attractivity of the boundary equilibria is studied.
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predator- prey and competition reaction-diffusion systems
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comparison argument
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global attractivity of the boundary equilibria
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