{
  "abstract": "This paper is concerned with the precise asymptotics, as time goes to infinity, of a transport problem in a half plane coupled with a nonlinear nonlocal boundary condition. This system arises from a class of models for the spatial spread of epdemics, its space independent version being the classical Kermack-McKendrick model. Using ideas pertaining to the study of nonlocal equations of the Fisher-KPP type, and exploiting the particular structure of the model, we prove that any initially localized solution will lag behind the minimal traveling wave, with a delay that grows logarithmically in time.",
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  "article_type": null,
  "arxiv": "2609.03869",
  "author_total": 3,
  "authors": [
    {
      "name": "Grégory Faye"
    },
    {
      "name": "Jean-Michel Roquejoffre"
    },
    {
      "name": "Mingmin Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a1tq0v8k5aqw3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03869",
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  "id": "a1tq0v8k5aqw3",
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  "landing_url": "https://hal.science/hal-05733457v1",
  "language": "en",
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  "licence_label": "CC BY 4.0",
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  "metadata_licence": "CC0-1.0",
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      "2739|Mathematical and Theoretical Epidemiology and Ecology Models"
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  "openalex": "W7208780533",
  "pdf_url": "https://hal.science/hal-05733457/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a1tq0v8k5aqw3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:24Z",
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      "url": "https://hal.science/hal-05733457v1"
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    {
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      "native_id": "2609.03869",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03869"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp asymptotics for a transport model with a nonlocal condition of the Fisher-KPP type at the boundary",
  "title_text": "Sharp asymptotics for a transport model with a nonlocal condition of the Fisher-KPP type at the boundary",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/a1tq0v8k5aqw3",
  "venue": "HAL",
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}