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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…