RT journal article
T1 Dissipative Gradient Nonlinearities Prevent δ-Formations in Local and Nonlocal Attraction–Repulsion Chemotaxis Models
A1 Li, Tongxing
A1 Acosta Soba, Daniel
A1 Columbu, Alessandro
A1 Viglialoro, Giuseppe
A2 Matemáticas
K1 attraction–repulsion
K1 boundedness
K1 chemotaxis
K1 gradient nonlinearities
K1 nonlinear production
K1 simulations
AB We study a class of zero-flux attraction–repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density (Formula presented.), the chemosensitivities and the production rates of the chemoattractant (Formula presented.) and the chemorepellent (Formula presented.). In addition, a source involving also the gradient of (Formula presented.) is incorporated. Our overall study touches on different aspects: we address questions connected to local well-posedness, we derive sufficient conditions to ensure boundedness of solutions, and finally, we develop numerical simulations giving insights into the evolution of the system.
PB Wiley
SN 1467-9590
YR 2025
FD 2025-02-04
LK http://hdl.handle.net/10498/36422
UL http://hdl.handle.net/10498/36422
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026