dorsal/arxiv
View SchemaFluctuations and correlations in an individual-based model of biological coevolution
| Authors | R. K. P. Zia, Per Arne Rikvold |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0401008 |
| URL | https://arxiv.org/abs/q-bio/0401008 |
| DOI | 10.1088/0305-4470/37/19/003 |
| Journal | J. Phys. A: Mathematical and General 37, 5135 - 5155 (2004). |
Abstract
We extend our study of a simple model of biological coevolution to its statistical properties. Staring with a complete description in terms of a master equation, we provide its relation to the deterministic evolution equations used in previous investigations. The stationary states of the mutationless model are generally well approximated by Gaussian distributions, so that the fluctuations and correlations of the populations can be computed analytically. Several specific cases are studied by Monte Carlo simulations, and there is excellent agreement between the data and the theoretical predictions.
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"abstract": "We extend our study of a simple model of biological coevolution to its\nstatistical properties. Staring with a complete description in terms of a\nmaster equation, we provide its relation to the deterministic evolution\nequations used in previous investigations. The stationary states of the\nmutationless model are generally well approximated by Gaussian distributions,\nso that the fluctuations and correlations of the populations can be computed\nanalytically. Several specific cases are studied by Monte Carlo simulations,\nand there is excellent agreement between the data and the theoretical\npredictions.",
"arxiv_id": "q-bio/0401008",
"authors": [
"R. K. P. Zia",
"Per Arne Rikvold"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech"
],
"doi": "10.1088/0305-4470/37/19/003",
"journal_ref": "J. Phys. A: Mathematical and General 37, 5135 - 5155 (2004).",
"title": "Fluctuations and correlations in an individual-based model of biological coevolution",
"url": "https://arxiv.org/abs/q-bio/0401008"
},
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