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

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 …

Over the past two decades, epidemic spreading on complex network has been a vibrant and
highly successful research avenue. The dynamics of epidemic spreading on signed …

During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have
emerged as powerful tools to produce valuable predictions of the evolution of the pandemic …

This study extends the Susceptible-Infected-Susceptible (SIS) epidemic model for single-
virus propagation over an arbitrary graph to an Susceptible-Infected by virus 1-Susceptible …

A key ingredient in social contagion dynamics is reinforcement, as adopting a certain social
behavior requires verification of its credibility and legitimacy. Memory of nonredundant …

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 …

Epidemic spreading processes in the real world depend on human behaviors and,
consequently, are typically non-Markovian in that the key events underlying the spreading …

In this Letter, a generalization of pairwise models to non-Markovian epidemics on networks
is presented. For the case of infectious periods of fixed length, the resulting pairwise model …

A general formalism is introduced to allow the steady state of non-Markovian processes on
networks to be reduced to equivalent Markovian processes on the same substrates. The …