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

The propagations of diseases, behaviors and information in real systems are rarely
independent of each other, but they are coevolving with strong interactions. To uncover the …

Abstract Models of epidemic spreading on complex networks have attracted great attention
among researchers in physics, mathematics, and epidemiology due to their success in …

Historically, infectious diseases caused considerable damage to human societies, and they
continue to do so today. To help reduce their impact, mathematical models of disease …

Since the work of Robert May in 1972, the local asymptotic stability of large ecological
systems has been a focus of theoretical ecology. Here we review May's work in the light of …

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

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 …

Rumor spreading can have a significant impact on people's lives, distorting scientific facts
and influencing political opinions. With technologies that have democratized the production …

Determining a set of “important” nodes in a network constitutes a basic endeavor in network
science. Inspired by electrical flows in a resistor network, we propose the best conducting …

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 …