Laws of epidemic dynamics in complex networks

For the two basic epidemic dynamics in the complex networks: susceptible-infectious susceptible (SIS) and susceptible-infectious-removed (SIR), we present analytical laws about their outbreak prevalence. So that the researching line is pushed from the threshold conditions to the determinants of the outbreak prevalence, which can help us understanding better the mechanisms of the propagation. For these two basic epidemics, we give the relationship of the relative infection scales among all subgroups with the degree of their activities; and the determinants of the prevalence on the level of whole population. Comparison of the laws got from two kinds of epidemics illustrates the essential difference between them. (C) 2019 Elsevier B.V. All rights reserved.