{
  "abstract": "We investigate the threshold phenomenon for a broad class of partially degenerate, coupled systems of reaction-diffusion-ODE equations with a buffered or dormant compartment. When initialized with a class of compactly supported function, we prove the existence of a sharp threshold separating extinction and propagation for a general class of switching functions. We derive an expression for the derivative of the threshold with respect to some parameters, and give results on the optimal switching rate minimizing this threshold. Finally, we contrast these dynamics with a bistable \"Go-or-Grow\" model, and show that the non-invertibility of the ground solution map may yield a non-sharp transition zone characterized by a continuous family of discontinuous ground states.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Ruben Taieb"
    },
    {
      "name": "Arnaud Ducrot"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2at78nwxd86r9.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "2at78nwxd86r9",
  "issns": [],
  "landing_url": "https://hal.science/hal-05760746v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-ap"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05760746/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2at78nwxd86r9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:39Z",
      "native_id": "hal-05760746",
      "source": "hal",
      "url": "https://hal.science/hal-05760746v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-ap",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The sharp and non-sharp threshold phenomenon in buffered and Go-or-Grow systems",
  "title_text": "The sharp and non-sharp threshold phenomenon in buffered and Go-or-Grow systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:39Z",
  "url": "https://research.draconitic.com/paper/2at78nwxd86r9",
  "venue": "HAL",
  "versions": []
}