When susceptible-infectious-susceptible contagion meets time-varying networks with identical infectivity
Adaptive Networks and Control Lab., Department of Electronic Engineering, Fudan University Shanghai 200433, PRC
Received: 10 July 2014
Accepted: 7 October 2014
Transmission of infectious diseases among populations can be modelled as contagion processes on contact networks. These contact networks are highly evolved in time and are represented by time-varying networks. The agents in contagion processes may have finite infectivity independently of their connectivity. Here we present an analytical framework of the susceptible-infectious-susceptible contagion process on time-varying networks, namely activity-driven networks with identical infectivity. We derive the critical epidemic thresholds and immunization thresholds as a function of infectivity, and prove that targeted immunizations are more efficient than random immunizations independently of the infectivity. We validate our conclusions in a large-scale human indoor interaction data set. Finally, we assess the effects of finite size.
PACS: 89.75.Hc – Networks and genealogical trees / 87.19.X- – Diseases / 87.23.Ge – Dynamics of social systems
© EPLA, 2014