  The dynamic nature of system gives rise to dynamical features of epidemic
spreading, such as oscillation and bistability. In this paper, by studying the
epidemic spreading in growing networks, in which susceptible nodes may
adaptively break the connections with infected ones yet avoid getting isolated,
we reveal a new phenomenon - \emph{epidemic reemergence}, where the number of
infected nodes is incubated at a low level for a long time and then bursts up
for a short time. The process may repeat several times before the infection
finally vanishes. Simulation results show that all the three factors, namely
the network growth, the connection breaking and the isolation avoidance, are
necessary for epidemic reemergence to happen. We present a simple theoretical
analysis to explain the process of reemergence in detail. Our study may offer
some useful insights helping explain the phenomenon of repeated epidemic
explosions.
