  We investigate the susceptible-infected-susceptible dynamics on configuration
model networks. In an effort for the unification of current approaches, we
consider a network whose edges are constantly being rearranged, with a tunable
rewiring rate $\omega$. We perform a detailed stationary state analysis of the
process, leading to a closed form expression of the absorbing-state threshold
for an arbitrary rewiring rate. In both extreme regimes (annealed and
quasi-static), we recover and further improve the results of current
approaches, as well as providing a natural interpolation for the intermediate
regimes. For any finite $\omega$, our analysis predicts a vanishing threshold
when the maximal degree $k_\mathrm{max} \to \infty$, a generalization of the
result obtained with quenched mean-field theory for static networks.
