Dissipation through combinations of nonlocal and gradient nonlinearities in chemotaxis models

2024/06/14 by Fuentes, Rafael Díaz, Frassu, Silvia, Viglialoro, Giuseppe · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.09861

Abstract

This work concerns with a class of chemotaxis models in which external sources, comprising nonlocal and gradient-dependent damping reactions, influence the motion of a cell density attracted by a chemical signal. The mechanism of the two densities is studied in bounded and impenetrable regions. In particular, it is seen that no gathering effect for the cells can appear in time provided that the damping impacts are sufficiently strong.

Cited by

• Global dynamics of chemotaxis-consumption systems with oppositely acting nonlocal terms
• Chemotaxis models with mixed mechanisms: boundedness in growth-dominated regimes

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