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PreprintCC BY 4.0arXiv

Re-entrance or monotonic: How chemotaxis controls pattern formation

  • Mintu Karmakar
  • Abhik Basu
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Abstract

We investigate pattern formation in generic two-species reaction-diffusion systems with mutual chemotaxis. We show that tuning the chemotaxis strength can give rise to striking nonmonotonic variation of patterns, opening the possibility of re-entrant transitions between patterned and spatially uniform steady states. In certain regimes, chemotaxis also induces additional heretofore unexplored instabilities. Furthermore, varying the strength of chemotaxis can drive morphological transitions between spot and stripe patterns.

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Cite

BibTeXRIS
BibTeX
@misc{karmakar2026reentrance,
  title = {{Re-entrance or monotonic: How chemotaxis controls pattern formation}},
  author = {Mintu Karmakar and Abhik Basu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.01127},
  eprint = {2609.01127},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01127},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Re-entrance or monotonic: How chemotaxis controls pattern formation
AU  - Mintu Karmakar
AU  - Abhik Basu
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2609.01127
UR  - https://arxiv.org/abs/2609.01127
AB  - We investigate pattern formation in generic two-species reaction-diffusion systems with mutual chemotaxis. We show that tuning the chemotaxis strength can give rise to striking nonmonotonic variation of patterns, opening the possibility of re-entrant transitions between patterned and spatially uniform steady states. In certain regimes, chemotaxis also induces additional heretofore unexplored instabilities. Furthermore, varying the strength of chemotaxis can drive morphological transitions between spot and stripe patterns.
ER  -