Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime

By Tongxing Li, Giuseppe Viglialoro. Differential and Integral Equations, 2020

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This work deals with a parabolic chemotaxis model with nonlinear diffusion and nonlocal reaction source. The problem is formulated on the whole space and, depending on a specific interplay between the coefficients associated to such diffusion and reaction, we establish that all given solutions are uniformly bounded in time.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/76f94e5578f289e4a1de2d03f2b06ea07482a441