We study the combined effects of aging and links removal on epidemic dynamics in the Barab\'{ a}si-Albert scale-free networks. The epidemic is described by a susceptible-infected-refractory (SIR) model. The aging effect of a node introduced at time $t_{ i}$ is described by an aging factor of the form $(t-t_{ i})^{ -\beta}$ 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 $p_{ c}$ such that for $p \geq p_{ c}$, epidemic breaks out in the network. For $p < p_{ c}$, only a local spread results. The dependence of $p_{ c}$ on $\beta$ is studied in detail. The function $p_{ c}(\beta)$ separates the space formed by $\beta$ and $p$ into regions corresponding to local and global spreads, respectively.
Categories: cond-mat.dis-nn