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arXiv · 2208.05679

Some refined criteria toward boundedness in an attraction-repulsion chemotaxis system with nonlinear productions

Alessandro Columbu·Silvia Frassu·Giuseppe Viglialoro
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Abstract

We study some zero-flux attraction-repulsion chemotaxis models, with nonlinear production rates for the chemorepellent and the chemoattractant. This paper partially improves some known results in the literature and moreover solves an open question. The research is also complemented with numerical simulations in bi-dimensional domains.

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Alessandro Columbu, Silvia Frassu, Giuseppe Viglialoro. 2022-08-11. Some refined criteria toward boundedness in an attraction-repulsion chemotaxis system with nonlinear productions. https://arxiv.org/abs/2208.05679

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