220 citations · 387 across the 32 of their papers we have counts for
4 papers · 1 filter
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…