{
  "abstract": "This paper presents a partial differential equation (PDE)-based auto-aggregation model for simulating descriptive norm dynamics in autonomous multi-agent systems, capturing convergence and violation through nonlocal perception kernels and external potential fields. Extending classical transport equations, the framework represents opinion popularity as a continuous distribution, enabling direct interactions without Bayesian guessing of beliefs. Using azithromycin and prednisolone as illustrative treatment features from a real-world coronavirus disease 2019 (COVID-19) dataset, the numerical experiments exhibit reduced local perception-to-target discrepancy under target-based updating, redistribution and the formation of a new unimodal density under fact-informed updates with potential guidance, and persistent multiple peaks without target-based fitting or an external potential field. Quantitative evaluation uses population-weighted local perception-to-target Wasserstein distance estimates for the selected treatment dimensions.",
  "abstract_shown": true,
  "affiliations": [
    "Faculty of AI Technologies, ITMO University, Saint Petersburg 197101, Russia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Chao Li",
      "orcid": "0009-0000-1233-3281"
    },
    {
      "affs": [
        0
      ],
      "name": "Ilia Derevitskii",
      "orcid": "0000-0002-8624-5046"
    },
    {
      "affs": [
        0
      ],
      "name": "Sergey Kovalchuk",
      "orcid": "0000-0001-8828-4615"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b8saw0ers9yhe.bib",
  "cited_by": 0,
  "doi": "10.3390/math14203837",
  "fulltext_url": null,
  "id": "b8saw0ers9yhe",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/20/3837",
  "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",
      "3109|Opinion Dynamics and Social Influence"
    ]
  ],
  "openalex": "W7223179789",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/b8saw0ers9yhe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14203837",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/20/3837"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3109|Opinion Dynamics and Social Influence",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A Nonlocal Aggregation–Diffusion Model with Adaptive Perception Kernels for Descriptive Norm Dynamics",
  "title_text": "A Nonlocal Aggregation–Diffusion Model with Adaptive Perception Kernels for Descriptive Norm Dynamics",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/b8saw0ers9yhe",
  "venue": "Mathematics",
  "versions": []
}