Topology independent SIS process: An engineering viewpoint

A Susceptible-Infected-Susceptible (SIS) spreading process, occurring on complex networks that are characterized by a special form of contact dynamics called “acquisition exclusivity”, is studied. Assuming statistical independence of joint events, we find analytic solutions for the stationary probabilities that network nodes are infected, and more importantly, find that these solutions are independent of the network topology. We explore the possibilities to use the studied set-up as an engineering solution for controlled spreading on technological networks. In that context, an example for controlled sharing of viral countermeasures in networks is presented. Considering the high epidemic threshold that characterizes the process, “acquisition exclusivity” is suggested as a method for eradication of viral infections from networks.