Topology Independent SIS Process: Theory and Application

摘要

Following the nonlinear dynamical system (NLDS) approach, we model and analyze a SIS type of spreading process on complex networks. The model is characterized by a special form of contact dynamics for which the term "acquisition exclusivity" is being used. Assuming statistical independence of joint events in the analysis, which is a valid approximation under several constrains, an analytic solution is obtained for the probabilities that network nodes are infected at an instance in time. Furthermore this solution is topologically independent. It is argued that there are two reasons why the studied setting should be considered valid from an engineering viewpoint. First, the studied process (under certain constrains) may be used as mechanism for controlled spreading of useful content in a network. Second, the SIS spreading process is characterized by high epidemic threshold. Therefore "acquisition exclusivity" should be considered as a mechanism for eradication of viral infections from networks.