{
  "abstract": "We propose a kinetic derivation of a spatial predator-prey model with cross-diffusion interactions and a Beddington-DeAngelis functional response. At the mesoscopic level, we divide the two populations into distinct behavioral states: prey can be active or hidden in a refuge, while predators can be either searching or handling. The microscopic state of each subpopulation is described in terms of group size and a continuous directional velocity variable, with state transitions governed by suitable Boltzmann-type interaction operators. By combining a diffusive scaling with a slow-fast formulation of the kinetic reaction operators, we formally derive a macroscopic reaction-cross-diffusion system for the total population densities of prey and predators. The limiting model consistently recovers the Beddington-DeAngelis functional response along with its associated nonlinear diffusion terms. Crucially, the kinetic upscaling yields a predator-dependent prey growth term taking a logistic form with an effective carrying capacity. This carrying capacity depends non-monotonically on predator density because prey redistribute between active and refuge states. Since density-dependent competition acts separately within these behavioral states, intermediate predator levels reduce aggregate crowding and thereby increase the effective carrying capacity of the total prey population. Overall, our derivation provides a mechanistic link connecting predator-induced behavioral shifts, refuge use, and macroscopic cross-diffusion.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.14132",
  "author_total": 4,
  "authors": [
    {
      "name": "Marzia Bisi"
    },
    {
      "name": "Andrea Bondesan"
    },
    {
      "name": "Maria Groppi"
    },
    {
      "name": "Cinzia Soresina"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9r46btjevby1e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.14132",
  "fulltext_url": null,
  "id": "9r46btjevby1e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.14132",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "nlin.AO"
    ],
    [
      "arxiv",
      "q-bio.PE"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.14132",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9r46btjevby1e.ris",
  "sources": [
    {
      "first_seen": "2026-11-11T06:21:45Z",
      "native_id": "2611.14132",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.14132"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "arxiv:q-bio.PE",
      "subfield": "evolutionary-biology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.AO",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Mesoscopic derivation of predator-prey dynamics via diffusive fast-reaction asymptotics: cross-diffusion and fear effects",
  "title_text": "Mesoscopic derivation of predator-prey dynamics via diffusive fast-reaction asymptotics: cross-diffusion and fear effects",
  "type": "preprint",
  "updated_at": "2026-11-13T06:20:14Z",
  "url": "https://research.draconitic.com/paper/9r46btjevby1e",
  "venue": "arXiv",
  "versions": []
}