Epidemic spreading on interconnected networks
  Many real networks are not isolated from each other but form networks of networks, often interrelated in non trivial ways. Here, we analyze an epidemic spreading process taking place on top of two interconnected complex networks. We develop a heterogeneous mean field approach that allows us to calculate the conditions for the emergence of an endemic state. Interestingly, a global endemic state may arise in the coupled system even though the epidemics is not able to propagate on each network separately, and even when the number of coupling connections is small. Our analytic results are successfully confronted against large-scale numerical simulations. 
Anna Saumell-Mendiola, M. \'Angeles Serrano, and Mari\'an Bogu\~n\'a
cond-mat.dis-nn cs.SI physics.soc-ph