dorsal/arxiv
View SchemaPhase transition and selection in a four-species cyclic Lotka-Volterra model
| Authors | Gyorgy Szabo, Gustavo Arial Sznaider |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0310017 |
| URL | https://arxiv.org/abs/q-bio/0310017 |
| DOI | 10.1103/PhysRevE.69.031911 |
| Journal | Phys. Rev. E 69 (2004) 031911 |
Abstract
We study a four species ecological system with cyclic dominance whose individuals are distributed on a square lattice. Randomly chosen individuals migrate to one of the neighboring sites if it is empty or invade this site if occupied by their prey. The cyclic dominance maintains the coexistence of all the four species if the concentration of vacant sites is lower than a threshold value. Above the treshold, a symmetry breaking ordering occurs via growing domains containing only two neutral species inside. These two neutral species can protect each other from the external invaders (predators) and extend their common territory. According to our Monte Carlo simulations the observed phase transition is equivalent to those found in spreading models with two equivalent absorbing states although the present model has continuous sets of absorbing states with different portions of the two neutral species. The selection mechanism yielding symmetric phases is related to the domain growth process whith wide boundaries where the four species coexist.
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"abstract": "We study a four species ecological system with cyclic dominance whose\nindividuals are distributed on a square lattice. Randomly chosen individuals\nmigrate to one of the neighboring sites if it is empty or invade this site if\noccupied by their prey. The cyclic dominance maintains the coexistence of all\nthe four species if the concentration of vacant sites is lower than a threshold\nvalue. Above the treshold, a symmetry breaking ordering occurs via growing\ndomains containing only two neutral species inside. These two neutral species\ncan protect each other from the external invaders (predators) and extend their\ncommon territory. According to our Monte Carlo simulations the observed phase\ntransition is equivalent to those found in spreading models with two equivalent\nabsorbing states although the present model has continuous sets of absorbing\nstates with different portions of the two neutral species. The selection\nmechanism yielding symmetric phases is related to the domain growth process\nwhith wide boundaries where the four species coexist.",
"arxiv_id": "q-bio/0310017",
"authors": [
"Gyorgy Szabo",
"Gustavo Arial Sznaider"
],
"categories": [
"q-bio.PE"
],
"doi": "10.1103/PhysRevE.69.031911",
"journal_ref": "Phys. Rev. E 69 (2004) 031911",
"title": "Phase transition and selection in a four-species cyclic Lotka-Volterra model",
"url": "https://arxiv.org/abs/q-bio/0310017"
},
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