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Finite-time blow-up in a two-species chemotaxis-competition model with single production

Masaaki Mizukami, Yuya Tanaka (2023)

Archivum Mathematicum

This paper is concerned with blow-up of solutions to a two-species chemotaxis-competition model with production from only one species. In previous papers there are a lot of studies on boundedness for a two-species chemotaxis-competition model with productions from both two species. On the other hand, finite-time blow-up was recently obtained under smallness conditions for competitive effects. Now, in the biological view, the production term seems to promote blow-up phenomena; this implies that the...

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