60 citations · 89 across the 5 of their papers we have counts for
6 papers
Turing chemotactic instability in an HIV model
Florinda Capone, Roberta De Luca, Vincenzo Luongo
A ternary reaction-diffusion model for early HIV infection dynamics, incorporating logistic growth of target cells, is introduced. According to in vitro and in vivo studies, random…
Analysis of a spherical free boundary problem modelling granular biofilms
F. Russo, M. R. Mattei, A. Tenore +3
A free boundary value problem related to the genesis of multispecies granular biofilms is presented. The granular biofilm is modelled as a spherical free boundary domain with radia…
Free boundary problem for the role of planktonic cells in biofilm formation and development
B. D'Acunto, L. Frunzo, V. Luongo +2
The dynamics of biofilm lifecycle are deeply influenced by the surrounding environment and the interactions between sessile and planktonic phenotypes. Bacterial biofilms typically…
A transient biological fouling model for constant flux microfiltration
V. Luongo, M. R. Mattei, L. Frunzo +4
Microfiltration technology is a widely used engineering strategy for fresh water production and water treatment. The major concern in many applications is the formation of a biolog…
Modeling biological systems with an improved fractional Gompertz law
Luigi Frunzo, Roberto Garra, Andrea Giusti +1
The aim of this paper is to provide a fractional generalization of the Gompertz law via a Caputo-like definition of fractional derivative of a function with respect to another func…
Invasion moving boundary problem for a biofilm reactor model
Berardino D'Acunto, Luigi Frunzo, Vincenzo Luongo +1
The work presents the analysis of the free boundary value problem related to the invasion model of new species in biofilm reactors. In the framework of continuum approach to mathem…