16 citations · 49 across the 7 of their papers we have counts for
7 papers
Propagation of chaos for a stochastic particle system modelling epidemics
Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella
We consider a simple stochastic -particle system, already studied by the same authors in \cite{CPS21}, representing different populations of agents. Each agent has a label descr…
Kinetic SIR equations and particle limits
Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella
We present and analyze two simple -particle particle systems for the spread of an infection, respectively with binary and with multi-body interactions. We establish a convergenc…
Inhomogeneities in Boltzmann-SIR models
Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella
We investigate, by means of numerical simulations, the qualitative properties of a Boltzmann equation for three species of particles introduced in previous work, capturing some fea…
Localization of defects via residence time measures
Emilio N. M. Cirillo, Alessandro Ciallella, Barbara Vantaggi
We show that residence time measure can be used to identify the geometrical and transmission properties of a defect along a path. The model we study is based on a one--dimensional…
Conditional expectation of the duration of the classical gambler problem with defects
A. Ciallella, E. N. M. Cirillo
The effect of space inhomogeneities on a diffusing particle is studied in the framework of the 1D random walk. The typical time needed by a particle to cross a one--dimensional fin…
Free to move or trapped in your group: Mathematical modeling of information overload and coordination in crowded populations
A. Ciallella, E. N. M. Cirillo, P. L. Curseu +1
We present modeling strategies that describe the motion and interaction of groups of pedestrians in obscured spaces. We start off with an approach based on balance equations in ter…
Residence time of symmetric random walkers in a strip with large reflective obstacles
Alessandro Ciallella, Emilio N. M. Cirillo, Julien Sohier
We study the effect of a large obstacle on the so called residence time, i.e., the time that a particle performing a symmetric random walk in a rectangular (2D) domain needs to cro…