{
  "annotation_id": "c5a35483-b94a-4298-a4d3-27180f4c0fe5",
  "date_created": "2026-03-02T18:01:32.285000Z",
  "date_modified": "2026-03-02T18:01:32.285000Z",
  "file_hash": "f3d324978cb62caa3e6593eb04527e278f7b0ebc443edce1496d84e518a263c9",
  "private": false,
  "record": {
    "abstract": "It is shown that all simple ecological, i.e. population dynamical equations\n(unlimited exponential population growth (or decrease) dynamics, logistic or\nVerhulst equation, usual and generalized Lotka-Volterra equations) hold a\nsymmetry, called $C_{E}PT$ symmetry. Namely, all simple ecological dynamical\nequations are invariant (symmetric) in respect to successive application of the\ntime reversal transformation - $T$, space coordinates reversal or parity\ntransformation - $P$, and predator-prey reversal transformation - $C_{E}$ that\nchanges preys in the predators or pure (healthy) in the impure (fatal)\nenvironment, and vice versa. It is deeply conceptually analogous to remarkable\n$CPT$ symmetry of the fundamental physical dynamical equations. Further, it is\nshown that by more accurate, \"microscopic\" analysis, given $C_{E}PT$ symmetry\nbecomes explicitly broken.",
    "arxiv_id": "q-bio/0510020",
    "authors": [
      "Vladan Pankovic",
      "Rade Glavatovic",
      "Milan Predojevic"
    ],
    "categories": [
      "q-bio.PE"
    ],
    "title": "$C_{E}PT$ Symmetry of the Simple Ecological Dynamical Equations",
    "url": "https://arxiv.org/abs/q-bio/0510020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8f64fa8e-76b1-4d62-bdc3-cc9c91885e88",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}