  Once an epidemic outbreak has been effectively contained through
non-pharmaceutical interventions, a safe protocol is required for the
subsequent release of social distancing restrictions to prevent a disastrous
resurgence of the infection. We report individual-based numerical simulations
of stochastic susceptible-infectious-recovered model variants on four distinct
spatially organized lattice and network architectures wherein contact and
mobility constraints are implemented. We robustly find that the intensity and
spatial spread of the epidemic recurrence wave can be limited to a manageable
extent provided release of these restrictions is delayed sufficiently (for a
duration of at least thrice the time until the peak of the unmitigated
outbreak) and long-distance connections are maintained on a low level (limited
to less than five percent of the overall connectivity).
