Spreading processes in complex networks: a review of the main theoretical and numerical methods

Spreading processes have been largely studied in the literature, both analytically and by means of large-scale numerical simulations.
Fundamentals of spreading processes in single and multilayer complex networks" is a new scientific paper, out in Physics Reports, that offers a whole suite of methods to study epidemic-like processes in complex networks, both for researchers without previous experience in the subject and for experts.

Co-authored by Yamir Moreno (ISI Foundation Deputy Director, Complex Networks & Systems), Guilherme Ferraz de Arruda (ISI Foundation Researcher) and Francisco A. Rodrigues, the paper reviews the main theoretical and numerical methods developed for the study of spreading processes on complex networked systems, witnessing the significant advances reached in this field of research in the last two decades, with the advent of modern network science.

Researchers classify two main classes of spreading processes, according to the nature of time: continuous-time and cellular automata approach (where the second one can be further divided into synchronous and asynchronous updating schemes). Overall, the paper is a new detailed overview on a very relevant scientific field, directly connected to the study of the propagation of diseases, rumours and information on top of a given population.

Fundamentals of spreading processes in single and multilayer complex networks, Guilherme Ferraz de Arruda, Francisco A. Rodrigues, Yamir Moreno. Physics Report, Volume 756, 5 October 2018. Link: https://www.sciencedirect.com/science/article/abs/pii/S0370157318301492