{
  "annotation_id": "2dc84a70-acf9-4062-b806-19e694cdb84f",
  "date_created": "2026-03-02T18:01:34.685000Z",
  "date_modified": "2026-03-02T18:01:34.685000Z",
  "file_hash": "9189ba97e03341e5f5024e5771386dd3053c78e83047f322ca5b5f5ee605fcd9",
  "private": false,
  "record": {
    "abstract": "This paper addresses the question of how population diffusion affects the\nformation of the spatial patterns in the spatial epidemic model by Turing\nmechanisms. In particular, we present theoretical analysis to results of the\nnumerical simulations in two dimensions. Moreover, there is a critical value\nfor the system within the linear regime. Below the critical value the spatial\npatterns are impermanent, whereas above it stationary spot and stripe patterns\ncan coexist over time. We have observed the striking formation of spatial\npatterns during the evolution, but the isolated ordered spot patterns don\u0027t\nemerge in the space.",
    "arxiv_id": "q-bio/0610006",
    "authors": [
      "Quan-Xing Liu",
      "Zhen Jin"
    ],
    "categories": [
      "q-bio.PE"
    ],
    "doi": "10.1088/1742-5468/2007/05/P05002",
    "journal_ref": "J. Stat. Mech. (2007) P05002",
    "title": "Formation of spatial patterns in epidemic model with constant removal   rate of the infectives",
    "url": "https://arxiv.org/abs/q-bio/0610006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea971242-e060-4393-ae30-b732ea269206",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}