arXiv subjects

Daniel Acosta Soba

Publications and source records attributed to Daniel Acosta Soba.

2 recordsLinked to original sources

arXiv2025

Boundedness in a nonlinear chemotaxis-consumption model with gradient terms

We study a chemotaxis-consumption mechanism, in which some chemical signal and cells density interact each other. In order to control the concentration of such a population, sources involving gradient nonlinearities, which introduce a dampening effect on the model, are considered. Moreover, the system is characterized by nonlinear diffusion and sensitivity terms. We derive conditions on some data of the problem so to ensure the boundedness of related solutions.

math.AP↗

arXiv2024

Dissipative gradient nonlinearities prevent $δ$-formations in local and nonlocal attraction-repulsion chemotaxis models

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.

math.AP↗