Skip to content
DraconiticResearch
Search Sources API
190,851 studies31 sourcesUpdated 33 min ago
PreprintarXiv licencearXiv

Global Boundedness and Finite-Time Blow-up for a Quasilinear Chemotaxis--May--Nowak System

  • Xueli Bai
  • Fang Li
  • Suying Liu
Open at sourcePDFDOICite

Abstract

This paper continues the work of Bai, Li, Liu and Luo \cite{BaiLiLiuLuoPreprint} on a quasilinear chemotaxis--May--Nowak system. We establish global boundedness in three dimensions for both the parabolic--elliptic--parabolic and fully parabolic systems when m>4/3. For the former, we construct finite-time blow-up solutions in balls when n=3 and 1<m≤4/3, and when n≥4 and 0<m≤2−2/n.

Related

  1. Improved Global Boundedness Criteria via Refined Bootstrap Estimates for a Quasilinear Chemotaxis-May-Nowak System
    Xueli Bai, Fang Li, Suying Liu +1
    arXivPreprintarXiv licenceFull textAnalysis & PDEsDynamical systemsarXiv
  2. A SHARP MASS THRESHOLD FOR BOUNDEDNESS IN A CRITICAL QUASILINEAR CHEMOTAXIS MODEL WITH INDIRECT SIGNAL PRODUCTION: THE RADIALLY SYMMETRIC CASE
    Philippe Laurençot, Christoph Walker
    HALPreprintCC BY 4.0Full textAnalysis & PDEsHALarXiv
  3. Chemotaxis-Stokes system with p-Laplacian slow diffusion: global boundedness across the full p>2 range
    Chunhua Jin
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. Global boundedness of the chemotaxis system with weakly singular sensitivity and nonlocal term in any dimension
    Yang Cao, Qingchun Li, Jing Zhang
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  5. Global boundedness in a Chemotaxis-May-Nowak model for virus dynamics with logistic damping
    Minh Le
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{bai2026global,
  title = {{Global Boundedness and Finite-Time Blow-up for a Quasilinear Chemotaxis--May--Nowak System}},
  author = {Xueli Bai and Fang Li and Suying Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33664},
  eprint = {2610.33664},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33664},
}
RIS
TY  - UNPB
TI  - Global Boundedness and Finite-Time Blow-up for a Quasilinear Chemotaxis--May--Nowak System
AU  - Xueli Bai
AU  - Fang Li
AU  - Suying Liu
PY  - 2026
DA  - 2026/10/24
PB  - arXiv
DO  - 10.48550/arxiv.2610.33664
UR  - https://arxiv.org/abs/2610.33664
AB  - This paper continues the work of Bai, Li, Liu and Luo \cite{BaiLiLiuLuoPreprint} on a quasilinear chemotaxis--May--Nowak system. We establish global boundedness in three dimensions for both the parabolic--elliptic--parabolic and fully parabolic systems when m>4/3. For the former, we construct finite-time blow-up solutions in balls when n=3 and 1<m≤4/3, and when n≥4 and 0<m≤2−2/n.
ER  -