Stability of constant steady states of an attraction-repulsion chemotaxis system
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909015341006848 |
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| author | Wakui, Hiroshi Yamada, Tetsuya |
| author_facet | Wakui, Hiroshi Yamada, Tetsuya |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_17917 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of constant steady states of an attraction-repulsion chemotaxis system Wakui, Hiroshi Yamada, Tetsuya Analysis of PDEs 35Q92, 35K55, 35B35, 35B40, 35K15, 92C17 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. |
| title | Stability of constant steady states of an attraction-repulsion chemotaxis system |
| topic | Analysis of PDEs 35Q92, 35K55, 35B35, 35B40, 35K15, 92C17 |
| url | https://arxiv.org/abs/2511.17917 |