dorsal/arxiv
View SchemaEvolutionary dynamics on degree-heterogeneous graphs
| Authors | T. Antal, S. Redner, V. Sood |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0601031 |
| URL | https://arxiv.org/abs/q-bio/0601031 |
| DOI | 10.1103/PhysRevLett.96.188104 |
| Journal | Phys. Rev. Lett. 96, 188104 (2006) |
Abstract
The evolution of two species with different fitness is investigated on degree-heterogeneous graphs. The population evolves either by one individual dying and being replaced by the offspring of a random neighbor (voter model (VM) dynamics) or by an individual giving birth to an offspring that takes over a random neighbor node (invasion process (IP) dynamics). The fixation probability for one species to take over a population of N individuals depends crucially on the dynamics and on the local environment. Starting with a single fitter mutant at a node of degree k, the fixation probability is proportional to k for VM dynamics and to 1/k for IP dynamics.
{
"annotation_id": "d4e9bdd1-387a-469e-9c4a-96600e381345",
"date_created": "2026-03-02T18:01:35.287000Z",
"date_modified": "2026-03-02T18:01:35.287000Z",
"file_hash": "cfea05df3f0cb30bbe1d894a180554deadc383b645a03616fad4a589c7f21f23",
"private": false,
"record": {
"abstract": "The evolution of two species with different fitness is investigated on\ndegree-heterogeneous graphs. The population evolves either by one individual\ndying and being replaced by the offspring of a random neighbor (voter model\n(VM) dynamics) or by an individual giving birth to an offspring that takes over\na random neighbor node (invasion process (IP) dynamics). The fixation\nprobability for one species to take over a population of N individuals depends\ncrucially on the dynamics and on the local environment. Starting with a single\nfitter mutant at a node of degree k, the fixation probability is proportional\nto k for VM dynamics and to 1/k for IP dynamics.",
"arxiv_id": "q-bio/0601031",
"authors": [
"T. Antal",
"S. Redner",
"V. Sood"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevLett.96.188104",
"journal_ref": "Phys. Rev. Lett. 96, 188104 (2006)",
"title": "Evolutionary dynamics on degree-heterogeneous graphs",
"url": "https://arxiv.org/abs/q-bio/0601031"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5144fa51-6bbf-42b9-a5dd-aa15b2c90dae",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}