dorsal/arxiv
View SchemaSpatial stochastic predator-prey models
| Authors | Mauro Mobilia, Ivan T. Georgiev, Uwe C. Tauber |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0609039 |
| URL | https://arxiv.org/abs/q-bio/0609039 |
| DOI | 10.4064/bc80-0-16 |
| Journal | Banach Center Publications Vol. 80, 253-257 (2008) |
Abstract
We consider a broad class of stochastic lattice predator-prey models, whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the deterministic rate equations, on the properties of the stochastic models. Here, we outline the robust scenario obeyed by most of the lattice predator-prey models with an interaction "a' la Lotka-Volterra". We also show how a drastically different behavior can emerge as the result of a subtle interplay between long-range interactions and a nearest-neighbor exchange process.
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"abstract": "We consider a broad class of stochastic lattice predator-prey models, whose\nmain features are overviewed. In particular, this article aims at drawing a\npicture of the influence of spatial fluctuations, which are not accounted for\nby the deterministic rate equations, on the properties of the stochastic\nmodels. Here, we outline the robust scenario obeyed by most of the lattice\npredator-prey models with an interaction \"a\u0027 la Lotka-Volterra\". We also show\nhow a drastically different behavior can emerge as the result of a subtle\ninterplay between long-range interactions and a nearest-neighbor exchange\nprocess.",
"arxiv_id": "q-bio/0609039",
"authors": [
"Mauro Mobilia",
"Ivan T. Georgiev",
"Uwe C. Tauber"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech",
"nlin.AO"
],
"doi": "10.4064/bc80-0-16",
"journal_ref": "Banach Center Publications Vol. 80, 253-257 (2008)",
"title": "Spatial stochastic predator-prey models",
"url": "https://arxiv.org/abs/q-bio/0609039"
},
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"execution_id": "ef3d7380-228b-4586-a897-a614c32a5e55",
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"type": "Model",
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