{
  "abstract": "This paper investigates the following May--Nowak type model for viral infection in a bounded domain $Ω\\subset \\mathbb{R}^n$, $n \\ge 2$: $\\begin{cases} u_t = Δu - χ\\nabla \\cdot (u \\nabla v) + κ- u - uw - μ\\dfrac{u^{1+α}}{\\ln^k(u+e)}, \\\\[1mm] γv_t = Δv - v + uw, \\\\[1mm] w_t = Δw - w + v, \\end{cases}$ where $χ\\in \\mathbb{R}$, $μ> 0$, $k \\in [0,1)$, $α> 0$, and $γ\\in \\{0,1\\}$. We establish the global existence and uniform-in-time boundedness of classical solutions for suitably regular initial data under one of the following conditions: (A) $γ= 1$, $n = 2$, $k \\in [0,1)$, $α= 1$, and $μ> 0$; (B) $γ= 1$, $3 \\le n \\le 5$, $k = 0$, $α= 1$, and $μ$ is sufficiently large; (C) $γ= 1$, $n \\ge 6$, $k = 0$, $α> \\frac{n-2}{4}$, and $μ> 0$; (D) $γ= 0$, $n \\ge 2$, $k = 0$, $α> \\frac{n+2}{2}$, and $μ>0$. In particular, in the physically relevant dimensions $n = 2,3$, both subquadratic and quadratic damping are sufficient to prevent blow-up. Moreover, in the fully parabolic case ($γ= 1$), our results improve upon recent findings by relaxing the condition $α> \\frac{n}{2}$ to weaker assumptions within the above parameter regimes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29134",
  "author_total": 1,
  "authors": [
    {
      "name": "Minh Le"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2qgt88zxy2cgz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29134",
  "fulltext_url": null,
  "id": "2qgt88zxy2cgz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29134",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2739|Mathematical and Theoretical Epidemiology and Ecology Models"
    ]
  ],
  "openalex": "W7214300268",
  "pdf_url": "https://arxiv.org/pdf/2609.29134",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2qgt88zxy2cgz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.29134",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29134"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global boundedness in a Chemotaxis-May-Nowak model for virus dynamics with logistic damping",
  "title_text": "Global boundedness in a Chemotaxis-May-Nowak model for virus dynamics with logistic damping",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/2qgt88zxy2cgz",
  "venue": "arXiv",
  "versions": []
}