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

1 citations · 2 across the 6 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.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…

math.AP2022

A nonlinear attraction-repulsion Keller-Segel model with double sublinear absorptions: criteria toward boundedness

Yutaro Chiyo, Silvia Frassu, Giuseppe Viglialoro

This paper generalizes and extends to the case of nonlinear effects and logistic perturbations some results recently developed in the literature where, for the linear counterpart a…