20 citations · 48 across the 5 of their papers we have counts for
6 papers
EPITIME: A Computational Framework for Integral Epidemic Models with Structure-Preserving Discretizations
Bruno Buonomo, Eleonora Messina, Claudia Panico +2
We present EPITIME (EPidemic Integral models TIMe profile Explorer), a computational framework for the simulation of two classes of integral epidemic models: an age of infection mo…
Modified Patankar Linear Multistep methods for production-destruction systems
Giuseppe Izzo, Eleonora Messina, Mario Pezzella +1
Modified Patankar schemes are linearly implicit time integration methods designed to be unconditionally positive and conservative. In the present work we extend the Patankar-type a…
An integral renewal equation approach to behavioural epidemic models with information index
Bruno Buonomo, Eleonora Messina, Claudia Panico +1
We propose an integral model describing an epidemic of an infectious disease. The model is behavioural in the sense that the constitutive law for the force of infection includes a…
The effect of time discretization on the solution of parabolic PDEs with ANNs
Francesco Calabrò, Salvatore Cuomo, Daniela di Serafino +2
We investigate the resolution of parabolic PDEs via Extreme Learning Machine (ELMs) Neural Networks, which have a single hidden layer and can be trained at a modest computational c…
A non-standard numerical scheme for an age-of-infection epidemic model
Eleonora Messina, Mario Pezzella, Antonia Vecchio
We propose a numerical method for approximating integro-differential equations arising in age-of-infection epidemic models. The method is based on a non-standard finite differences…
A hybrid mathematical model of collective motion under alignment and chemotaxis
Ezio Di Costanzo, Marta Menci, Eleonora Messina +2
In this paper we propose and study a hybrid discrete in continuous mathematical model of collective motion under alignment and chemotaxis effect. Starting from the paper by Di Cost…