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math.PR2020★ 8 cited
A stochastic differential equation SIS model on network under Markovian switching
Stefania Ottaviano, Stefano Bonaccorsi
We study a stochastic SIS (susceptible-infected-susceptible) epidemic dynamics on network, under the effect of a Markovian regime-switching. We first prove the existence of a uniqu…
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…