Some refined criteria toward boundedness in an attraction-repulsion chemotaxis system with nonlinear productions (2208.05679v1)

Published 11 Aug 2022 in math.AP

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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