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

1 citations · 2 across the 5 of their papers we have counts for

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5 papers

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…

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…