{
  "abstract": "We study time-periodic Keller--Segel dynamics in a translating KPP environment. In the parabolic--elliptic regime, we prove global boundedness, identify the sharp speed \\(c_*=2\\sqrt{\\bar a\\,\\bar r}\\), establish persistence in the interior region \\(|s|<c_*\\), \\(s\\cdot e<c\\), and derive the complementary sharp upper bounds; for a moving favorable slab, the sign of a principal Floquet exponent determines persistence or extinction under the stated weighted-resolvent condition. For every fixed \\(τ\\ge0\\), under constant population diffusivity and sufficiently weak taxis, we further construct locally unique planar forced time-periodic waves in \\(\\mathbb R^N\\). The main new analytic mechanisms are an exact Yukawa first-contact estimate, which controls the chemotactic drift at the KPP leading-edge scale without losing the sharp propagation threshold, and a two-sided weighted Fredholm--monodromy continuation framework for the temporally nonlocal signal equation, with explicit control of the far-field spectral gaps and the translational neutral mode. To the best of the author's knowledge, planar forced time-periodic waves in \\(\\mathbb R^N\\) for shifting Keller--Segel systems have not been investigated in any previous studies; earlier forced-wave results are confined to substantially more restrictive settings, in particular one-dimensional parabolic--elliptic models. Thus the present construction provides the first multidimensional planar forced-wave theory for a time-periodic shifting Keller--Segel system with temporal signal memory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36627",
  "author_total": 1,
  "authors": [
    {
      "name": "Hoang-Hung Vo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/024bah6b17qhe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36627",
  "fulltext_url": null,
  "id": "024bah6b17qhe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36627",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2611|Mathematical Biology Tumor Growth"
    ]
  ],
  "openalex": "W7224104359",
  "pdf_url": "https://arxiv.org/pdf/2610.36627",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/024bah6b17qhe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36627",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36627"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Time-Periodic Chemotaxis in Shifting Environments: Propagation and Planar Forced Waves in $\\R^N$",
  "title_text": "Time-Periodic Chemotaxis in Shifting Environments: Propagation and Planar Forced Waves in R^N",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/024bah6b17qhe",
  "venue": "arXiv",
  "versions": []
}