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arXiv · 2610.33664

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

Xueli Bai·Fang Li·Suying Liu
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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 $1<m\le4/3$, and when $n\ge4$ and $0<m\le2-2/n$.

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Xueli Bai, Fang Li, Suying Liu. 2026-10-24. Global Boundedness and Finite-Time Blow-up for a Quasilinear Chemotaxis--May--Nowak System. https://arxiv.org/abs/2610.33664

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