{
  "annotation_id": "f37c3cf7-4c6a-432a-8656-203d475c6d23",
  "date_created": "2026-03-02T18:01:32.340000Z",
  "date_modified": "2026-03-02T18:01:32.340000Z",
  "file_hash": "d7074856e79ad411aeb8f9fb04eaa267c453cb6563733f9d423d6454395bad25",
  "private": false,
  "record": {
    "abstract": "Including spatial structure and stochastic noise invalidates the classical\nLotka-Volterra picture of stable regular population cycles emerging in models\nfor predator-prey interactions. Growth-limiting terms for the prey induce a\ncontinuous extinction threshold for the predator population whose critical\nproperties are in the directed percolation universality class. Here, we discuss\nthe robustness of this scenario by considering an ecologically inspired\nstochastic lattice predator-prey model variant where the predation process\nincludes next-nearest-neighbor interactions. We find that the corresponding\nstochastic model reproduces the above scenario in dimensions 1\u003c d \\leq 4, in\ncontrast with mean-field theory which predicts a first-order phase transition.\nHowever, the mean-field features are recovered upon allowing for\nnearest-neighbor particle exchange processes, provided these are sufficiently\nfast.",
    "arxiv_id": "q-bio/0508043",
    "authors": [
      "Mauro Mobilia",
      "Ivan T. Georgiev",
      "Uwe C. Tauber"
    ],
    "categories": [
      "q-bio.PE",
      "cond-mat.stat-mech",
      "physics.soc-ph",
      "q-bio.QM"
    ],
    "doi": "10.1103/PhysRevE.73.040903",
    "journal_ref": "Phys. Rev. E 73, 040903(R) (2006)",
    "title": "Fluctuations and Correlations in Lattice Models for Predator-Prey   Interaction",
    "url": "https://arxiv.org/abs/q-bio/0508043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "55ac3177-3730-44d9-ad35-aed06e9455bf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}