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arXiv · 2511.17917

Stability of constant steady states of an attraction-repulsion chemotaxis system

Hiroshi Wakui·Tetsuya Yamada
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Abstract

The Cauchy problem for the attraction-repulsion chemotaxis system in the whole $n$-dimensional space has uncountable constant steady states. In the attraction chemotaxis system, each positive constant steady state is stable if it is in a certain region. On the other hand, in the repulsion chemotaxis system, every positive constant steady state is stable. Our main purpose of this paper is to give a suitable condition under which the attraction-repulsion chemotaxis system has also stable constant steady states.

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Hiroshi Wakui, Tetsuya Yamada. 2025-11-22. Stability of constant steady states of an attraction-repulsion chemotaxis system. https://doi.org/10.1007/s41808-026-00465-5

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