Combining effects ensuring boundedness in an attraction-repulsion chemotaxis model with production and consumption
Analysis of PDEs
2023-05-17 v1
Abstract
This paper is framed in a series of studies on attraction-repulsion chemotaxis models combining different effects: nonlinear diffusion and sensitivities and logistic sources, for the dynamics of the cell density, and consumption and/or production impacts, for those of the chemicals. In particular, herein we focus on the situation where the signal responsible of gathering tendencies for the particles' distribution is produced, while the opposite counterpart is consumed. In such a sense, this research complements two recent results, where the chemicals evolve according to different laws.
Keywords
Cite
@article{arxiv.2211.03608,
title = {Combining effects ensuring boundedness in an attraction-repulsion chemotaxis model with production and consumption},
author = {Tongxing Li and Silvia Frassu and Giuseppe Viglialoro},
journal= {arXiv preprint arXiv:2211.03608},
year = {2023}
}