  The flux of visitors through popular places undoubtedly influences viral
spreading -- from H1N1 and Zika viruses spreading through physical spaces such
as airports, to rumors and ideas spreading though online spaces such as
chatrooms and social media. However there is a lack of understanding of the
types of viral dynamics that can result. Here we present a minimal dynamical
model which focuses on the time-dependent interplay between the {\em mobility
through} and the {\em occupancy of} such spaces. Our generic model permits
analytic analysis while producing a rich diversity of infection profiles in
terms of their shapes, durations, and intensities. The general features of
these theoretical profiles compare well to real-world data of recent social
contagion phenomena.
