In recent years the research community has accumulated overwhelming evidence for the
emergence of complex and heterogeneous connectivity patterns in a wide range of …

We develop an analytical approach to the susceptible-infected-susceptible epidemic model
that allows us to unravel the true origin of the absence of an epidemic threshold in …

Most studies on susceptible-infected-susceptible epidemics in networks implicitly assume
Markovian behavior: the time to infect a direct neighbor is exponentially distributed. Much …

In recent years, significant attention has been paid to diffusion in social networks (SNs),
which is, factually, the collective behavior of a set of autonomous social actors for interacting …

In this paper, we analyze the dynamics of spreading processes taking place over time-
varying networks. A common approach to model time-varying networks is via Markovian …

The problem of targeted network immunization can be defined as the one of finding a subset
of nodes in a network to immunize or vaccinate in order to minimize a tradeoff between 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 …

The interplay between disease dynamics on a network and the dynamics of the structure of
that network characterizes many real-world systems of contacts. A continuous-time adaptive …

Spreading processes on networks are ubiquitous in both human-made and natural systems.
Understanding their behavior is of broad interest: from the control of epidemics to …

In this work, we aim to understand the influence of the heterogeneity of infection rates on the
Susceptible-Infected-Susceptible (SIS) epidemic spreading. Employing the classic SIS …