dorsal/arxiv
View SchemaCompeting associations in six-species predator-prey models
| Authors | Gyorgy Szabo |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0408005 |
| URL | https://arxiv.org/abs/q-bio/0408005 |
| DOI | 10.1088/0305-4470/38/30/005 |
| Journal | J. Phys. A: Math. Gen. 38 (2005) 6689-6702. |
Abstract
We study a set of six-species ecological models where each species has two predators and two preys. On a square lattice the time evolution is governed by iterated invasions between the neighboring predator-prey pairs chosen at random and by a site exchange with a probability Xs between the neutral pairs. These models involve the possibility of spontaneous formation of different defensive alliances whose members protect each other from the external invaders. The Monte Carlo simulations show a surprisingly rich variety of the stable spatial distributions of species and subsequent phase transitions when tuning the control parameter Xs. These very simple models are able to demonstrate that the competition between these associations influences their composition. Sometimes the dominant association is developed via a domain growth. In other cases larger and larger invasion processes preceed the prevalence of one of the stable asociations. Under some conditions the survival of all the species can be maintained by the cyclic dominance occuring between these associations.
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"abstract": "We study a set of six-species ecological models where each species has two\npredators and two preys. On a square lattice the time evolution is governed by\niterated invasions between the neighboring predator-prey pairs chosen at random\nand by a site exchange with a probability Xs between the neutral pairs. These\nmodels involve the possibility of spontaneous formation of different defensive\nalliances whose members protect each other from the external invaders. The\nMonte Carlo simulations show a surprisingly rich variety of the stable spatial\ndistributions of species and subsequent phase transitions when tuning the\ncontrol parameter Xs. These very simple models are able to demonstrate that the\ncompetition between these associations influences their composition. Sometimes\nthe dominant association is developed via a domain growth. In other cases\nlarger and larger invasion processes preceed the prevalence of one of the\nstable asociations. Under some conditions the survival of all the species can\nbe maintained by the cyclic dominance occuring between these associations.",
"arxiv_id": "q-bio/0408005",
"authors": [
"Gyorgy Szabo"
],
"categories": [
"q-bio.PE"
],
"doi": "10.1088/0305-4470/38/30/005",
"journal_ref": "J. Phys. A: Math. Gen. 38 (2005) 6689-6702.",
"title": "Competing associations in six-species predator-prey models",
"url": "https://arxiv.org/abs/q-bio/0408005"
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