{
  "abstract": "We are interested in the dynamics of a population structured by a phenotypic trait. Individuals reproduce sexually, which is represented by a non-linear integral operator. This operator is combined to a multiplicative operator representing selection. When the strength of selection is small, we show that the dynamics of the population is governed by a simple macroscopic differential equation, and that solutions converge exponentially to steady-states that are locally unique. The analysis is based on Wasserstein distance inequalities using a uniform lower bound on distributions. These inequalities are coupled to tail estimates to show the stability of the steady-states.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2104.06089",
  "author_total": 1,
  "authors": [
    {
      "name": "Gaël Raoul"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a3rmvqp09y0dm.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "a3rmvqp09y0dm",
  "issns": [],
  "landing_url": "https://hal.science/hal-03434278v1",
  "language": "en",
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "0.sdv"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-03434278/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a3rmvqp09y0dm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:57Z",
      "native_id": "hal-03434278",
      "source": "hal",
      "url": "https://hal.science/hal-03434278v1"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "hal:0.sdv",
      "subfield": "general"
    },
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Exponential convergence to a steady-state for a population genetics model with sexual reproduction and selection",
  "title_text": "Exponential convergence to a steady-state for a population genetics model with sexual reproduction and selection",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:57Z",
  "url": "https://research.draconitic.com/paper/a3rmvqp09y0dm",
  "venue": "HAL",
  "versions": []
}