activity
20072020
most citedAnalysis of the stochastic FitzHugh-Nagumo system

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

math.DS2020

Random evolution equations: well-posedness, asymptotics, and applications to graphs

Stefano Bonaccorsi, Francesca Cottini, Delio Mugnolo

We study diffusion-type equations supported on structures that are randomly varying in time. After settling the issue of well-posedness, we focus on the asymptotic behavior of solu…

math.DS2019

Some aspects of the Markovian SIRS epidemic on networks and its mean-field approximation

Stefania Ottaviano, Stefano Bonaccorsi

We study the spread of an SIRS-type epidemic with vaccination on network. Starting from an exact Markov description of the model, we investigate the mean epidemic lifetime by provi…

math.PR2018

Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in

Stefano Bonaccorsi, Luciano Tubaro, Margherita Zanella

On the infinite dimensional space of continuous paths from to , , endowed with the Wiener measure , we construct a surface measure defined on l…

math.PR2016

An Itô calculus for a class of limit processes arising from random walks on the complex plane

Stefano Bonaccorsi, Craig Calcaterra, Sonia Mazzucchi

Within the framework of the previous paper [8]. we develop a generalized stochastic calculus for processes associated to higher order diffusion operators. Applications to the study…

math.OC2015

Stochastic differential equations with variable structure driven by multiplicative Gaussian noise and sliding mode dynamic

Viorel Barbu, Stefano Bonaccorsi, Luciano Tubaro

This work is concerned with existence of weak solutions to discon- tinuous stochastic differential equations driven by multiplicative Gaus- sian noise and sliding mode control dyna…

math.PR20081 cited

Analysis of the stochastic FitzHugh-Nagumo system

Stefano Bonaccorsi, Elisa Mastrogiacomo

In this paper we study a system of stochastic differential equations with dissipative nonlinearity which arise in certain neurobiology models. Besides proving existence, uniqueness…