In recent years the research community has accumulated overwhelming evidence for the
emergence of complex and heterogeneous connectivity patterns in a wide range of
biological and sociotechnical systems. The complex properties of real-world networks have
a profound impact on the behavior of equilibrium and nonequilibrium phenomena occurring
in various systems, and the study of epidemic spreading is central to our understanding of
the unfolding of dynamical processes in complex networks. The theoretical analysis of …

We analyse the dynamics of the SIS and Reed–Frost models on complex networks. In
contrast to most of the previous analytical work which relied on mean-field approximations
and simulations, we present a probabilistic approach whereby general results are derived
and illustrated on various families of graphs.