Periodic orbits near heteroclinic cycles in a cyclic replicator system (Q455718)
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scientific article; zbMATH DE number 6097168
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic orbits near heteroclinic cycles in a cyclic replicator system |
scientific article; zbMATH DE number 6097168 |
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Periodic orbits near heteroclinic cycles in a cyclic replicator system (English)
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22 October 2012
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The paper deals with a Lotka-Volterra type system as a model for semelparous species (every individual reproduces only once in its life and dies immediately after the reproduction). The model the bifurcation of periodic orbits from a heteroclinic cycle is shown, and, based on this, it is explained why all but one subpopulation are finally extinct.
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replicator equation
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periodic orbit
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heteroclinic cycle
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average competitive degree
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semelparous population
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