{
  "annotation_id": "833e9f27-390b-457e-ab46-34e31fb1c97e",
  "date_created": "2026-03-02T18:01:31.357000Z",
  "date_modified": "2026-03-02T18:01:31.357000Z",
  "file_hash": "6a4731030751d763540ae271ee51bc941226e5ff780c6a3be9a7b1366e9a55e3",
  "private": false,
  "record": {
    "abstract": "In this work we consider time reversal of the increasing geometrical\nprogression of the population of a simple biological species without any\nenemies (predators) in the appropriate environment with unlimited resources\n(food, territory, etc.). It is shown that such time reversal corresponds to\nappearance of the cannibalism, i.e. self-predaciousness or self-damping\nphenomena which can be described by a type of difference Verhulst equation.",
    "arxiv_id": "q-bio/0508011",
    "authors": [
      "Vladan Pankovic",
      "Rade Glavatovic",
      "Milan Predojevic"
    ],
    "categories": [
      "q-bio.PE"
    ],
    "title": "Time Reversal of the Increasing Geometrical Progression of the   Population of a Simple Biological Specie",
    "url": "https://arxiv.org/abs/q-bio/0508011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9f102980-2a49-4144-958f-1d79fbc15580",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}