{
  "annotation_id": "1f56dd95-5ce8-45d0-9c7d-9dc1369c0adf",
  "date_created": "2026-03-02T18:01:35.556000Z",
  "date_modified": "2026-03-02T18:01:35.556000Z",
  "file_hash": "69fea6fcd91d828e47b554fb233496ccabc6d4ced4012c326ed9c77a623cb56d",
  "private": false,
  "record": {
    "abstract": "A class of models of biological population and communities with a singular\nequilibrium at the origin is analyzed; it is shown that these models can\npossess a dynamical regime of deterministic extinction, which is crucially\nimportant from the biological standpoint. This regime corresponds to the\npresence of a family of homoclinics to the origin, so-called elliptic sector.\nThe complete analysis of possible topological structures in a neighborhood of\nthe origin, as well as asymptotics to orbits tending to this point, is given.\nAn algorithmic approach to analyze system behavior with parameter changes is\npresented. The developed methods and algorithm are applied to existing\nmathematical models of biological systems. In particular, we analyze a model of\nanticancer treatment with oncolytic viruses, a parasite-host interaction model,\nand a model of Chagas\u0027 disease.",
    "arxiv_id": "q-bio/0611091",
    "authors": [
      "Faina S Berezovskaya",
      "Artem S Novozhilov",
      "Georgy P Karev"
    ],
    "categories": [
      "q-bio.QM",
      "q-bio.PE"
    ],
    "title": "Population models with singular equilibrium",
    "url": "https://arxiv.org/abs/q-bio/0611091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7729fa61-a3fb-4ffd-b045-4d9925c2005f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}