Spreading phenomena on temporal networks with memory effects.

In this talk we will explore the effects that the memory mechanism in a time-varying network has on a spreading process focusing on the epidemic dynamics. We will consider a particular type of temporal network, the activity-driven model, and introduce an activity-based mean-field model finding the epidemic threshold as a function of the memory parameter. We will confront our results with numerical simulations on
large order time-evolving networks, and discuss the preasymptotic effects induced by the memory on the threshold of both the SIS and SIR epidemic model. Further discussion will be focused on future perspectives considering the possible effects of behavioral changes and awareness on spreading phenomena in temporal networks with memory.