2 papers
math.AP2025
Boundedness in a nonlinear chemotaxis-consumption model with gradient terms
Daniel Acosta Soba, Alessandro Columbu, Giuseppe Viglialoro
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, source…
math.AP2024
Dissipative gradient nonlinearities prevent -formations in local and nonlocal attraction-repulsion chemotaxis models
Tongxing Li, Daniel Acosta Soba, Alessandro Columbu +1
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…