{
  "annotation_id": "e11449bb-8878-430d-87bd-ef2b4f7c5b92",
  "date_created": "2026-03-02T18:01:34.680000Z",
  "date_modified": "2026-03-02T18:01:34.680000Z",
  "file_hash": "436a186946b4715aa39b345e567ffdd5724ff18f4c45f924f31b9ec34cfe9fc0",
  "private": false,
  "record": {
    "abstract": "Results are reported concerning the formation of spatial patterns in the\ntwo-species ratio-dependent predator-prey model driven by spatial\ncolored-noise. The results show that there is a critical value with respect to\nthe intensity of spatial noise for this system when the parameters are in the\nTuring space, above which the regular spatial patterns appear in two\ndimensions, but under which there are not regular spatial patterns produced. In\nparticular, we investigate in two-dimensional space the formation of regular\nspatial patterns with the spatial noise added in the side and the center of the\nsimulation domain, respectively.",
    "arxiv_id": "q-bio/0609047",
    "authors": [
      "Quan-Xing Liu",
      "Zhen Jin"
    ],
    "categories": [
      "q-bio.PE"
    ],
    "doi": "10.1088/1742-5468/2007/05/P05002",
    "title": "Formation of regular spatial patterns in ratio-dependent predator-prey   model driven by spatial colored-noise",
    "url": "https://arxiv.org/abs/q-bio/0609047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "242eb5bb-d522-4f73-976d-1b67262b2492",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}