{
  "abstract": "In this paper, we numerically compare two distinct techniques for modeling demographic noise in biomathematical systems: the forward method introduced by Allen, which starts from discrete stochastic processes and moves forward to their continuous counterparts, and the backward technique introduced by Carletti and Banerjee, which models discrete stochastic processes incorporating intrinsic noise by moving backward from ordinary differential equation (ODE) systems. Our work highlights that the two methods show consistent dynamical trends. Nevertheless, the backward technique offers greater ease of use and provides a wider range of applications, as it allows researchers to infer demographic stochasticity directly from systems previously modeled by standard ODEs.",
  "abstract_shown": true,
  "affiliations": [
    "DISB Department, University of Urbino C. Bo, Via Sant’Andrea 34, 61029 Urbino, Italy",
    "DISPeA Department, University of Urbino C. Bo, Piazza Della Repubblica 13, 61029 Urbino, Italy"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Roberto Macrelli",
      "orcid": "0000-0003-3382-3153"
    },
    {
      "affs": [
        1
      ],
      "name": "Margherita Carletti",
      "orcid": "0000-0002-2708-8503"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/emskce9yam1vf.bib",
  "cited_by": 0,
  "doi": "10.3390/math14203685",
  "fulltext_url": null,
  "id": "emskce9yam1vf",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/20/3685",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2739|Mathematical and Theoretical Epidemiology and Ecology Models"
    ]
  ],
  "openalex": "W7202254122",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/emskce9yam1vf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14203685",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/20/3685"
    }
  ],
  "subjects": [
    {
      "field": "medicine",
      "origin": "openalex:2739|Mathematical and Theoretical Epidemiology and Ecology Models",
      "subfield": "epidemiology-public-health"
    }
  ],
  "title": "Modeling Demographic Noise in Discrete and Continuous Settings",
  "title_text": "Modeling Demographic Noise in Discrete and Continuous Settings",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/emskce9yam1vf",
  "venue": "Mathematics",
  "versions": []
}