{
  "abstract": "COVID-19 and influenza may produce overlapping waves, yet an overall least-squares fit need not represent their high-activity weeks well. We compare implemented integer-order, Caputo, and Atangana–Baleanu–Caputo (ABC) discrete schemes for a common ten-compartment transition structure with seasonal transmission and external influenza input. The schemes are calibrated with ordinary mean-normalized weighted least squares (J1) and a peak-weighted objective (J2). We fit the first 66 of 83 weekly observation pairs and assess the remaining 17 weeks. ABC gives the smallest training peak root-mean-square error for both series under either objective. Within ABC, J2 reduces COVID-19 and influenza training peak errors by 9.50% and 42.98%, respectively, relative to its J1 fit. Integer order achieves the smallest ordinary loss and lower temporal validation error. The autonomous disease-free and conditional invasion thresholds characterize the underlying unforced vector field, not the fitted seasonal system. These findings support peak-weighted calibration for retrospective high-activity reconstruction in these data, but they do not establish superior future-peak prediction.",
  "abstract_shown": true,
  "affiliations": [
    "School of Mathematics and Statistics, Guilin University of Technology, Guilin 541004, China",
    "Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin University of Technology, Guilin 541004, China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Tingting Li"
    },
    {
      "affs": [
        0,
        1
      ],
      "name": "Shuangxia Lu"
    },
    {
      "affs": [
        0,
        1
      ],
      "name": "Youming Guo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fqyn35tfgahqh.bib",
  "cited_by": 0,
  "doi": "10.3390/fractalfract10110749",
  "fulltext_url": null,
  "id": "fqyn35tfgahqh",
  "issns": [
    "2504-3110"
  ],
  "landing_url": "https://www.mdpi.com/2504-3110/10/11/749",
  "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",
      "2611|COVID-19 epidemiological studies"
    ]
  ],
  "openalex": "W7223999397",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/fqyn35tfgahqh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:32Z",
      "native_id": "10.3390/fractalfract10110749",
      "source": "crossref",
      "url": "https://www.mdpi.com/2504-3110/10/11/749"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:2504-3110",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Peak-Weighted Calibration of Implemented Integer-Order, Caputo, and Atangana–Baleanu–Caputo Schemes for Simultaneous COVID-19 and Influenza Transmission",
  "title_text": "Peak-Weighted Calibration of Implemented Integer-Order, Caputo, and Atangana–Baleanu–Caputo Schemes for Simultaneous COVID-19 and Influenza Transmission",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:32Z",
  "url": "https://research.draconitic.com/paper/fqyn35tfgahqh",
  "venue": "Fractal and Fractional",
  "versions": []
}