{
  "annotation_id": "81257d77-3639-4ee6-afc2-385978288cca",
  "date_created": "2026-03-02T18:01:35.413000Z",
  "date_modified": "2026-03-02T18:01:35.413000Z",
  "file_hash": "19759ca167a32ab77ca81f3527462447d8b7b1eeccc1ca04e3c85f0c2abd3916",
  "private": false,
  "record": {
    "abstract": "We analyze general two-species stochastic models, of the kind generally used\nfor the study of population dynamics. We show that the conditions for the\nstochastic (microscopic) model to display approximate sustained oscillatory\nbehavior are governed by the parameters of the corresponding deterministic\n(macroscopic) model. We provide a quantitative criterion for the quality of the\nstochastic oscillation, using a dimensionless parameter that depends only on\nthe deterministic model. When this parameter is small, the oscillations are\nclear, and the frequencies of the stochastic and deterministic oscillations are\nclose, for all stochastic models compatible with the same deterministic one. On\nthe other hand, when it is large, the oscillations cannot be distinguished from\na noise.",
    "arxiv_id": "q-bio/0701044",
    "authors": [
      "Sebasti\u00e1n Risau-Gusman",
      "Guillermo Abramson"
    ],
    "categories": [
      "q-bio.PE"
    ],
    "title": "Oscillations in two-species models: tying the stochastic and   deterministic approaches",
    "url": "https://arxiv.org/abs/q-bio/0701044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a5d6f7dd-b01a-4f72-a5b7-cf243b242b9a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}