Long‐Time Behavior of Solution to a Chemotaxis System With Singular Sensitivity in Dimension One

ABSTRACT This paper deals with a chemotaxis system with singular sensitivity , in a bounded interval with and . It is shown that the system possesses a globally bounded classical solution which enjoys the exponential convergence in ‐norm as depending on the sign of .

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2026-01-19
DOI
https://doi.org/10.1002/mma.70492
Primary Topic
Mathematical Biology Tumor Growth
Type
article
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article

Long‐Time Behavior of Solution to a Chemotaxis System With Singular Sensitivity in Dimension One

Tao Pan, Shuangshuang Zhou, Xiangdong Zhao
Mathematical Methods in the Applied Sciences
Mathematical Biology Tumor Growth
article

Long‐Time Behavior of Solution to a Chemotaxis System With Singular Sensitivity in Dimension One

Tao Pan, Shuangshuang Zhou, Xiangdong Zhao
article en

Abstract

ABSTRACT This paper deals with a chemotaxis system with singular sensitivity , in a bounded interval with and . It is shown that the system possesses a globally bounded classical solution which enjoys the exponential convergence in ‐norm as depending on the sign of .

Mathematical Methods in the Applied Sciences
Liaoning Normal University (CN), Hunan City University (CN)
Reduced inequalities
Openalex Percentile: Top 85%
Mathematical Biology Tumor Growth
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