The science of networks has revolutionised research into the dynamics of interacting
elements. It could be argued that epidemiology in particular has embraced the potential of …

Since the beginning of the COVID-19 pandemic, the reproduction number [Formula: see text]
has become a popular epidemiological metric used to communicate the state of the …

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 …

Complex networks are key to describing the connected nature of the society that we live in.
This book, the second of two volumes, describes the local structure of random graph models …

The primary tool for predicting infectious disease spread and intervention effectiveness is
the mass action susceptible–infected–recovered model of Kermack & McKendrick. Its …

An effective degree approach to modeling the spread of infectious diseases on a network is
introduced and applied to a disease that confers no immunity (a Susceptible-Infectious …

Deterministic models have a long history of being applied to the study of infectious disease
epidemiology. We highlight and discuss nine challenges in this area. The first two concern …

The emergence of Zika and Ebola demonstrates the importance of understanding the role of
sexual transmission in the spread of diseases with a primarily non-sexual transmission …

Background The spread of infectious diseases from person to person is determined by the
frequency and nature of contacts between infected and susceptible members of the …

This paper is concerned with the almost sure exponential synchronization of a multilayer
network which is set up on a non-strongly connected digraph that can be classified into …