2 papers
math.AP2026
Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization
Le Chen, Ian Ruau, Wenxian Shen
This paper is Part II of a series on global existence and asymptotic behavior of positive solutions to \begin{equation*} \begin{cases} \displaystyle u_t=Îu-Ï_0\nabla\cdot\left(\f…
math.AP2025
Chemotaxis models with signal-dependent sensitivity and a logistic-type source, I: Boundedness and global existence
Le Chen, Ian Ruau, Wenxian Shen
We study, in Part I of this series, boundedness and global existence of positive classical solutions to a parabolic-elliptic chemotaxis system with signal-dependent sensitivity and…