Stability analysis for a class of diffusive coupled systems with applications to population biology (Q2730916)
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scientific article; zbMATH DE number 1625240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability analysis for a class of diffusive coupled systems with applications to population biology |
scientific article; zbMATH DE number 1625240 |
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16 September 2002
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diffusive solutions
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predator-prey systems
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local stability
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synchronized equilibria
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limit cycles
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lattice dynamical systems
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Stability analysis for a class of diffusive coupled systems with applications to population biology (English)
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The authors find criteria for the local stability of synchronized equilibria or limit cycles for a class of lattice dynamical systems. The criteria are derived by application of a linear algebra theorem that has been proven before. The authors restrict their attention to the case where the subsystems are identical and the synchronized solutions are either equilibria or limit cycles. The criteria are illustrated by several examples of population biology.
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