{
  "abstract": "This paper investigates a multi-objective optimization framework for the simultaneous parameter identification and optimal vaccination control of a generalized non-linear SIR epidemic model. In contrast to traditional single-objective approaches, we formulate a vector optimization problem to concurrently minimize deviations from observed trajectories, disease prevalence, and public health operational costs, unlocking the identification of Pareto-optimal strategies. We establish the global existence, uniqueness, and physical invariance of the state solutions within a classical Sobolev space framework by employing a contraction mapping argument under the Bielecki weighted norm. Via the direct method of the calculus of variations and compact Sobolev embeddings, the existence of weak Pareto-optimal solutions is rigorously proved. First-order necessary optimality conditions are subsequently derived using the geometric Dubovitskii–Milyutin functional formalism, which yields a well-posed backward linear adjoint system and a precise characterization of the coupled variational inequalities. Finally, we implement a robust numerical architecture driven by an adjoint-based Augmented Lagrangian Method coupled with a quasi-Newton solver over a piecewise linear continuous subspace for the approximation and simulation of the Pareto-optimal frontier, which is successfully validated through three distinct numerical examples.",
  "abstract_shown": true,
  "affiliations": [
    "Departamento de Ciencias Básicas–Centro de Ciencias Exactas, Facultad de Ciencias, Universidad del Bío-Bío, Campus Fernando May, Chillán 3780000, Chile",
    "Instituto de Matemática, Universidade Federal de Mato Grosso do Sul, Campo Grande 79074-460, Brazil",
    "Faculdade de Ciências Exatas e Tecnologia, Universidade Federal da Grande Dourados, Dourados 79804-970, Brazil",
    "Departamento de Matemática, Facultad de Ciencias Naturales, Matemáticas y del Medio Ambiente, Universidad Tecnológica Metropolitana, Las Palmeras No. 3360, Ñuñoa, Santiago 7800003, Chile"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Aníbal Coronel",
      "orcid": "0000-0001-6602-7378"
    },
    {
      "affs": [
        1
      ],
      "name": "Ana Paula Chorobura",
      "orcid": "0000-0003-0331-3734"
    },
    {
      "affs": [
        2
      ],
      "name": "Camila Isoton",
      "orcid": "0009-0006-0903-9157"
    },
    {
      "affs": [
        3
      ],
      "name": "Fernando Huancas",
      "orcid": "0000-0003-2794-029X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e9n4dsdb3w2s6.bib",
  "cited_by": 0,
  "doi": "10.3390/math14213939",
  "fulltext_url": null,
  "id": "e9n4dsdb3w2s6",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/21/3939",
  "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": "W7224125277",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/e9n4dsdb3w2s6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14213939",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/21/3939"
    }
  ],
  "subjects": [
    {
      "field": "medicine",
      "origin": "openalex:2739|Mathematical and Theoretical Epidemiology and Ecology Models",
      "subfield": "epidemiology-public-health"
    }
  ],
  "title": "Multi-Objective Identification and Optimal Control for Generalized SIR Epidemic Models with Time-Dependent Parameters",
  "title_text": "Multi-Objective Identification and Optimal Control for Generalized SIR Epidemic Models with Time-Dependent Parameters",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/e9n4dsdb3w2s6",
  "venue": "Mathematics",
  "versions": []
}