Global stability in a negative chemotaxis system with chemically induced lethality
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911601686216704 |
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| author | Herrero-Hervás, Federico Negreanu, Mihaela |
| author_facet | Herrero-Hervás, Federico Negreanu, Mihaela |
| contents | In this paper, we investigate the long-time dynamics of a repulsive Keller-Segel chemotaxis system. The model features negative chemotaxis, logistic growth and a cell death term, accounting for a lethal chemorepellent that is self-produced by the cells and externally supplied. We prove that, for constant chemorepellent supplies, depending on their magnitude with respect to the logistic growth rate, solutions converge in $L^\infty$ norm toward extinction of the population, or equilibrate toward a nontrivial spatially homogeneous steady state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15954 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global stability in a negative chemotaxis system with chemically induced lethality Herrero-Hervás, Federico Negreanu, Mihaela Analysis of PDEs 35K65, 35K59, 35K57, 35Q92 In this paper, we investigate the long-time dynamics of a repulsive Keller-Segel chemotaxis system. The model features negative chemotaxis, logistic growth and a cell death term, accounting for a lethal chemorepellent that is self-produced by the cells and externally supplied. We prove that, for constant chemorepellent supplies, depending on their magnitude with respect to the logistic growth rate, solutions converge in $L^\infty$ norm toward extinction of the population, or equilibrate toward a nontrivial spatially homogeneous steady state. |
| title | Global stability in a negative chemotaxis system with chemically induced lethality |
| topic | Analysis of PDEs 35K65, 35K59, 35K57, 35Q92 |
| url | https://arxiv.org/abs/2604.15954 |