Spreading processes have been largely studied in the literature, both analytically and by
means of large-scale numerical simulations. These processes mainly include the …

The paper provides a comprehensive overview of modeling and pricing cyber insurance and
includes clear and easily understandable explanations of the underlying mathematical …

Over the past decade, the use of networks has led to a new modelling paradigm combining
several branches of science, including physics, mathematics, biology and social sciences …

Cybersecurity risk has attracted considerable attention in recent decades. However, the
modeling of cybersecurity risk is still in its infancy, mainly because of its unique …

We present a continuous formulation of epidemic spreading on multilayer networks using a
tensorial representation, extending the models of monoplex networks to this context. We …

We develop a novel approach for pricing cyber insurance contracts. The considered cyber
threats, such as viruses and worms, diffuse in a structured data network. The spread of the …

Mean-field approximations (MFAs) are frequently used in physics. When a process (such as
an epidemic or a synchronization) on a network is approximated by MFA, a major hurdle is …

Habitat destruction and land use change are making the world in which natural populations
live increasingly fragmented, often leading to local extinctions. Although local populations …

We propose an approximation framework that unifies and generalizes a number of existing
mean-field approximation methods for the susceptible-infected-susceptible (SIS) epidemic …

Several theoretical methods have been developed to approximate the prevalence and
threshold of epidemics in networks. Among them, the recurrent dynamic message-passing …