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 …

Livestock movements are important in spreading infectious diseases and many countries
have developed regulations that require farmers to report livestock movements to …

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 …

The aim of these Notes is to increase the reader's understanding of the spread of infectious
diseases using mathematics, and in particular stochastic methods. Needless to say …

We consider epidemics with removal (SIR epidemics) in populations that mix at two levels:
global and local. We develop a general modelling framework for such processes, which …

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 …

Networks are increasingly central to modern science owing to their ability to conceptualize
multiple interacting components of a complex system. As a specific example of this …

In this paper, a modified SIS model with an infective vector on complex networks is proposed
and analyzed, which incorporates some infectious diseases that are not only transmitted by …

This letter investigates the multiple routes transmitted epidemic process on multiplex
networks. We propose detailed theoretical analysis that allows us to accurately calculate the …

The study of epidemics on social networks has attracted considerable attention recently. In
this paper, we consider a stochastic SIR (susceptible→ infective→ removed) model for the …