We study spreading on networks where the contact dynamics between the nodes
is governed by a random process and where the inter-contact time distribution
may differ from the exponential. We consider a process of imperfect spreading,
where transmission is successful with a determined probability at each contact.
We first derive an expression for the inter-success time distribution,
determining the speed of the propagation, and then focus on a problem related
to epidemic spreading, by estimating the epidemic threshold in a system where
nodes remain infectious during a finite, random period of time. Finally, we
discuss the implications of our work to design an efficient strategy to enhance
spreading on temporal networks.Comment: 5 page