43. chen.ruau.ea:26:chemotaxis#
Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization
Le Chen, Ian Ruau, and Wenxian Shen
Abstract: This paper is Part II of a series on boundedness, global existence, and asymptotic behavior of positive classical solutions to a parabolic–elliptic chemotaxis model with signal-dependent sensitivity and a logistic-type source. In Part I, we established several parameter regimes ensuring boundedness and global existence. In this paper, we study the long-time dynamics, including persistence, convergence to steady states, and stabilization properties of the system.
Keywords: persistence, stability, bifurcation, Keller–Segel systems, parabolic–elliptic chemotaxis models, signal-dependent sensitivity, logistic-type source.
[] Le Chen, Ian Ruau & Wenxian Shen (2026) ‘Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization’, preprint arXiv:2604.02599, 51 pages
@article{chen.ruau.ea:26:chemotaxis,
title = {Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization},
author = {Le Chen and Ian Ruau and Wenxian Shen},
year = {2026},
month = {April},
journal = {Preprint arXiv:2604.02599},
url = {http://arXiv.org/abs/2604.02599}
}