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STABILITY OF STEADY-STATE SOLUTIONS OF A CLASS OF KELLER-SEGEL MODELS WITH MIXED BOUNDARY CONDITIONS
  • ZEFU FENG,
  • JING JIA,
  • Shouming Zhou
ZEFU FENG
Chongqing Normal University

Corresponding Author:[email protected]

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JING JIA
Chongqing Normal University
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Shouming Zhou
Chongqing Normal University
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Abstract

In this paper, we investigate the the existence and stability of non-trivial steady state solutions of a class of chemotaxis models with zero-flux boundary conditions and Dirichlet boundary conditions on one-dimensional bounded interval. By using upper-lower solution and the monotone iteration scheme method, we get the existence of the steady-state solution of the chemotaxis model. Moreover, by adopting the “inverse derivative” technique and the weighted energy method to obtain the stability of the steady-state solution of this chemotaxis model.
09 Sep 2023Submitted to Mathematical Methods in the Applied Sciences
09 Sep 2023Assigned to Editor
09 Sep 2023Submission Checks Completed
15 Sep 2023Review(s) Completed, Editorial Evaluation Pending
19 Sep 2023Reviewer(s) Assigned