9 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 DÃaz Fuentes, MarÃa 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…