Abstract
We study the combined effects of aging and links removal on epidemic dynamics in the Barabási–Albert scale-free networks. The epidemic is described by a susceptible-infected-refractory (SIR) model. The aging effect of a node introduced at time ti is described by an aging factor of the form (t-ti)-β in the probability of being connected to newly added nodes in a growing network under the preferential attachment scheme based on popularity of the existing nodes. SIR dynamics is studied in networks with a fraction 1-p of the links removed. Extensive numerical simulations reveal that there exists a threshold pc such that for p≥pc, epidemic breaks out in the network. For p<pc, only a local spread results. The dependence of pc on β is studied in detail. The function pc(β) separates the space formed by β and p into regions corresponding to local and global spreads, respectively.
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