Inhomogeneity of epidemic spreading with entropy-based infected clusters

Considering the difference in the sizes of the infected clusters in the dynamic complex networks, the normalized entropy based on infected clusters (δ *) is proposed to characterize the inhomogeneity of epidemic spreading.δ *gives information on the variability of the infected clusters in the system. We investigate the variation in the inhomogeneity of the distribution of the epidemic with the absolute velocity v of moving agent, the infection density ρ , and the interaction radius r . By comparingδ *in the dynamic networks withδ H *in homogeneous mode, the simulation experiments show that the inhomogeneity of epidemic spreading becomes smaller with the increase of v , ρ , r .