Influence of dynamical condensation on epidemic spreading in scale-free networks

Abstract

Considering the accumulation phenomenon in public places, we investigate how the condensation of moving bosonic particles influences the epidemic spreading in scale-free metapopulation networks. Our mean-field theory shows that condensation can significantly enhance the effect of epidemic spreading and reduce the threshold for epidemic to survive, in contrast to the case of without condensation. In the stationary state, the number of infected particles increases with the degree k linearly when k<k_{c} and nonlinearly when k>k_{c}, where k_{c} denotes the crossover degree of the nodes with unity particle. The dependence of critical infective rate beta_{c} on the parameters k_{max}, micro, and delta, is figured out, where k_{max}, micro, and delta denote the largest degree, recovery rate, and jumping exponent, respectively. Numerical simulations have confirmed the theoretical predictions.