Dissipative gradient nonlinearities prevent $\delta$-formations in local and nonlocal attraction-repulsion chemotaxis models
Analysis of PDEs
2024-05-07 v1
Abstract
We study some attraction repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density, and for the chemosensitivities and the production rates of the chemoattractant and the chemorepellent. Additionally, a source also involving some expression of the gradient of the species is incorporated.
Keywords
Cite
@article{arxiv.2405.03586,
title = {Dissipative gradient nonlinearities prevent $\delta$-formations in local and nonlocal attraction-repulsion chemotaxis models},
author = {Tongxing Li and Daniel Acosta Soba and Alessandro Columbu and Giuseppe Viglialoro},
journal= {arXiv preprint arXiv:2405.03586},
year = {2024}
}