1 citations · 1 across the 8 of their papers we have counts for
3 papers · 2 filters
Boundedness criteria for a chemotaxis consumption model with gradient nonlinearities
Alessandro Columbu
This work deals with the consumption chemotaxis problem \begin{equation*} \begin{cases*} u_t = Δu - χ\nabla \cdot u\nabla v + λu - μu^2 - c \lvert \nabla u \rvert^γ, & \text{in $Ω\…
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…
Global existence and lower bounds in a class of tumor-immune cell interactions chemotaxis systems
Shanmugasundaram Gnanasekaran, Alessandro Columbu, Rafael Díaz Fuentes +1
This paper investigates the properties of classical solutions to a class of chemotaxis systems that model interactions between tumor and immune cells. Our focus is on examining the…