111 citations · 153 across the 17 of their papers we have counts for
17 papers
Global boundedness of a two-species attraction-attraction chemotaxis model with bilinear boundary influx
Gurusamy Arumugam, Silvia Frassu, Kwancheol Shin +1
Since its introduction, the Keller--Segel model has become a cornerstone in the mathematical theory of chemotaxis and it has generated extensive analytical activity. Most studies c…
Global dynamics of chemotaxis-consumption systems with oppositely acting nonlocal terms
Rafael Diaz Fuentes, Fatma Gamze Duzgun, Silvia Frassu +1
This paper studies a chemotaxis system where cells move in response to a chemical signal within a confined habitat. The model includes external source terms that combine local and…
Chemotaxis models with mixed mechanisms: boundedness in growth-dominated regimes
Tongxing Li, Silvia Frassu, Giuseppe Viglialoro
We study a chemotaxis-growth system with nonlinear local and nonlocal reactions and gradient-dependent damping. Under suitable conditions on the system parameters and spatial dimen…
To what extent does the consideration of positive total flux influence the dynamics of Keller-Segel-type models?
Khadijeh Baghaei, Silvia Frassu, Yuya Tanaka +1
Since the introduction of the Keller-Segel model in 1970 to describe chemotaxis (the interactions between cell distributions u and chemical distributions v), there has been a signi…
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…
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…
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…
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…
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…
Combining effects ensuring boundedness in an attraction-repulsion chemotaxis model with production and consumption
Tongxing Li, Silvia Frassu, Giuseppe Viglialoro
This paper is framed in a series of studies on attraction-repulsion chemotaxis models combining different effects: nonlinear diffusion and sensitivities and logistic sources, for t…
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…
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…
Improvements and generalizations of results concerning attraction-repulsion chemotaxis models
Silvia Frassu, Tongxing Li, Giuseppe Viglialoro
We enter the details of two recent articles concerning as many chemotaxis models, one nonlinear and the other linear, and both with produced chemoattractant and saturated chemorepe…
On some sharper boundedness conditions in the higher-dimensional chemotaxis-consumption model
Silvia Frassu, Giuseppe Viglialoro
For the classical zero-flux chemotaxis-consumption model \begin{equation*} u_t= Δu - χ\nabla \cdot (u \nabla v) \quad \textrm{and}\quad v_t=Δv- uv, \quad \text{ with } (x,t)\in Ω\t…
Uniform in time -estimates for an attraction-repulsion chemotaxis system with double saturation
Silvia Frassu, Rafael Rodríguez Galván, Giuseppe Viglialoro
In this paper we focus on an attraction-repulsion chemotaxis model with consumed signals, formulated in bounded and smooth domains of , with . We derive sufficie…
Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent
Silvia Frassu, Giuseppe Viglialoro
We study this zero-flux attraction-repulsion chemotaxis model, with linear and superlinear production for the chemorepellent and sublinear rate for the chemoattractant: \be…
Boundedness for a fully parabolic Keller-Segel model with sublinear segregation and superlinear aggregation
Silvia Frassu, Giuseppe Viglialoro
This work deals with a fully parabolic chemotaxis model with nonlinear production and chemoattractant. The problem is formulated on a bounded domain and, depending on a specific in…