Abstract:A numerical study of synchronization and extinction is done for a SIRS model with fixed infective and refractory periods, in the regime of high infectivity, on one-and two-dimensional networks for which the connectivity probability decays as r −α with distance. In both one and two dimensions, a long-lasting synchronized state is reached when α < d but not when α > d. Three dynamical stages are identified for small α, respectively: a short period of initial synchronization, followed by a long oscillatory stage … Show more
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