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20222024
most citedProperties of given and detected unbounded solutions to a class of chemotaxis models

1 citations · 2 across the 7 of their papers we have counts for

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math.AP2024

Dissipation through combinations of nonlocal and gradient nonlinearities in chemotaxis models

Rafael Díaz Fuentes, Silvia Frassu, Giuseppe Viglialoro

This work concerns with a class of chemotaxis models in which external sources, comprising nonlocal and gradient-dependent damping reactions, influence the motion of a cell density…

math.AP2024

Addendum to the paper "Refined criteria toward boundedness in an attraction-repulsion chemotaxis system with nonlinear productions"

Silvia Frassu, Giuseppe Viglialoro

These notes aim to provide a deeper insight on the specifics of the paper "Refined criteria toward boundedness in an attraction-repulsion chemotaxis system with nonlinear productio…

math.AP2023

Uniform-in-time boundedness in a class of local and nonlocal nonlinear attraction-repulsion chemotaxis models with logistics

Alessandro Columbu, Rafael Diaz Fuentes, Silvia Frassu

This article deals with a class of chemotaxis systems describing mechanisms from mathematical biology. In the specific, for a rather general class of attraction-repulsion models, w…

math.AP20231 cited

Boundedness through nonlocal dampening effects in a fully parabolic chemotaxis model with sub and superquadratic growth

Yutaro Chiyo, Fatma Ga mze D Düzgün, Silvia Frassu +1

This work deals with a chemotaxis model where an external source involving a sub and superquadratic growth effect contrasted by nonlocal dampening reaction influences the motion of…

math.AP20231 cited

Properties of given and detected unbounded solutions to a class of chemotaxis models

Alessandro Columbu, Silvia Frassu, Giuseppe Viglialoro

This paper deals with unbounded solutions to a class of chemotaxis systems. In particular, for a rather general attraction-repulsion model, with nonlinear productions, diffusion, s…

math.AP2022

Some refined criteria toward boundedness in an attraction-repulsion chemotaxis system with nonlinear productions

Alessandro Columbu, Silvia Frassu, Giuseppe Viglialoro

We study some zero-flux attraction-repulsion chemotaxis models, with nonlinear production rates for the chemorepellent and the chemoattractant. This paper partially improves some k…