[en] The BA model ; Scale free ; Finite-precision preferential attachment
[en] The Barabasi-Albert (BA) model with ﬁnite-precision preferential attachment is used to build a wide range of network structures. Spreading epidemics and collective dynamics are investigated on such complex networks. Numerical simulations reveal a transition from an exponential scaling to a power law distribution of link numbers per node along with the increase of the tuning parameter ω. The collective synchronization induced by Susceptible-
Infected-Recovered-Susceptible (SIRS) epidemiological process is shown to depend on the topological structure of the network.