Ecological communities with Lotka-Volterra dynamics
Ecological communities in heterogeneous environments assemble through the combined effect of species interaction and migration. Understanding the effect of these processes on the community properties is central to ecology. Here we study these processes for a single community subject to migration from a pool of species, with population dynamics described by the generalized Lotka-Volterra equations. We derive exact results for the phase diagram describing the dynamical behaviors, and for the diversity and species abundance distributions. A phase transition is found from a phase where a unique globally attractive fixed point exists to a phase where multiple dynamical attractors exist, leading to history-dependent community properties. The model is shown to possess a symmetry that also establishes a connection with other well-known models.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2017 |
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| Erschienen: |
2017 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:95 |
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| Enthalten in: |
Physical review. E - 95(2017), 4-1 vom: 04. Apr., Seite 042414 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Bunin, Guy [VerfasserIn] |
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Date Completed 02.10.2018 Date Revised 04.10.2018 published: Print-Electronic Citation Status MEDLINE |
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| doi: |
10.1103/PhysRevE.95.042414 |
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| funding: |
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| PPN (Katalog-ID): |
NLM271905565 |
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| 520 | |a Ecological communities in heterogeneous environments assemble through the combined effect of species interaction and migration. Understanding the effect of these processes on the community properties is central to ecology. Here we study these processes for a single community subject to migration from a pool of species, with population dynamics described by the generalized Lotka-Volterra equations. We derive exact results for the phase diagram describing the dynamical behaviors, and for the diversity and species abundance distributions. A phase transition is found from a phase where a unique globally attractive fixed point exists to a phase where multiple dynamical attractors exist, leading to history-dependent community properties. The model is shown to possess a symmetry that also establishes a connection with other well-known models | ||
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