Extinction and asymptotic behavior of solutions to a system arising in biology (Q1885054)
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scientific article; zbMATH DE number 2111227
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extinction and asymptotic behavior of solutions to a system arising in biology |
scientific article; zbMATH DE number 2111227 |
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Extinction and asymptotic behavior of solutions to a system arising in biology (English)
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28 October 2004
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This paper concerns a system of \(n\) integro-differential equations, describing the dynamics of \(n\) competitive species. The authors derive some hypotheses on the coefficient parameters of the system under which a part of the species will extinct and the remaining ones are attracted by the nontrivial stationary solution.
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coexistence
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extinction
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global asymptotic stability
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integro-differential system
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logistic equation
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Lyapunov function
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persistence
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