43. chen.ruau.ea:26:chemotaxis
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.. centered:: Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization
.. centered:: 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.

`Preprint <https://arxiv.org/abs/2604.02599>`_

:cite:`chen.ruau.ea:26:chemotaxis` 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*

.. code-block:: bibtex

   @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}
   }


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