220 citations · 387 across the 32 of their papers we have counts for
33 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…
Uniform boundedness for the two-dimensional Keller-Segel system with Gompertz growth
Nohayla Alaoui, Mohamed Halloumi, Giuseppe Viglialoro
It is known that in two dimensions the classical Keller-Segel model can lead to cell aggregation. This behavior can be controlled by adding a logistic growth term with quadratic de…
Nonlocal logistics and nonlinear productions in an attraction-repulsion chemotaxis model: analysis of the global well-posedness
Rafael Díaz Fuentes, María Victoria Redondo Neble, Giuseppe Viglialoro
This paper investigates a {three-component} chemotaxis system involving both attraction and repulsion effects, as well as a nonlocal logistic-type source term. Mathematically, if $…
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…
Boundedness in a nonlinear chemotaxis-consumption model with gradient terms
Daniel Acosta Soba, Alessandro Columbu, Giuseppe Viglialoro
We study a chemotaxis-consumption mechanism, in which some chemical signal and cells density interact each other. In order to control the concentration of such a population, source…
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…
Dissipative gradient nonlinearities prevent -formations in local and nonlocal attraction-repulsion chemotaxis models
Tongxing Li, Daniel Acosta Soba, Alessandro Columbu +1
We study some attraction repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density, and for the chemosensitivities and the production…
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…
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…
A Keller-Segel type taxis model with ecological interpretation and boundedness due to gradient nonlinearities
Sachiko Ishida, Johannes Lankeit, Giuseppe Viglialoro
We introduce a novel gradient-based damping term into a Keller-Segel type taxis model with motivation from ecology and consider the following system equipped with homogeneous Neuma…
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…
Remarks on two connected papers about Keller-Segel systems with nonlinear production
Yuya Tanaka, Giuseppe Viglialoro, Tomomi Yokota
These notes aim to provide a deeper insight on the specifics of two articles dealing with chemotaxis models with nonlinear production. More precisely, we are referring to the paper…
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…
Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime
Tongxing Li, Giuseppe Viglialoro
This work deals with a parabolic chemotaxis model with nonlinear diffusion and nonlocal reaction source. The problem is formulated on the whole space and, depending on a specific i…
On the solvability of a two-dimensional Ventcel problem with variable coefficients
Antonio Greco, Giuseppe Viglialoro
This paper deals with the following mixed boundary value problem \begin{equation}\label{ProblemAbstract} \tag{} \begin{cases} -Δu = f &\mbox{in ,} \\ u = φ&\mbox{on $Γ…