{
  "annotation_id": "f492e0be-44d4-482b-9aea-34a3d8ecebcc",
  "date_created": "2026-03-02T18:01:31.546000Z",
  "date_modified": "2026-03-02T18:01:31.546000Z",
  "file_hash": "133b8f8a737152f1856aca1261bc79d38ed2d8a4f7780c6d8ec934c3aa7b7c9a",
  "private": false,
  "record": {
    "abstract": "In this paper we present the simplest individual level model of predator-prey\ndynamics and show, via direct calculation, that it exhibits cycling behavior.\nThe deterministic analogue of our model, recovered when the number of\nindividuals is infinitely large, is the Volterra system (with density-dependent\nprey reproduction) which is well-known to fail to predict cycles. This\ndifference in behavior can be traced to a resonant amplification of demographic\nfluctuations which disappears only when the number of individuals is strictly\ninfinite. Our results indicate that additional biological mechanisms, such as\npredator satiation, may not be necessary to explain observed predator-prey\ncycles in real (finite) populations.",
    "arxiv_id": "q-bio/0501023",
    "authors": [
      "A. J. McKane",
      "T. J. Newman"
    ],
    "categories": [
      "q-bio.PE"
    ],
    "doi": "10.1103/PhysRevLett.94.218102",
    "title": "Predator-prey cycles from resonant amplification of demographic   stochasticity",
    "url": "https://arxiv.org/abs/q-bio/0501023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "570ba05d-75e1-44d6-8cd3-a89f9c024505",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}