id author title date pages extension mime words sentences flesch summary cache txt cord-125979-2c2agvex Mata, Ang'elica S. An overview of epidemic models with phase transitions to absorbing states running on top of complex networks 2020-10-05 .txt text/plain 9579 589 59 Both SIS and SIRS models are equivalent from the mean-field theory perspective, but the mechanism of immunization changes the behavior of the epidemic dynamics depending on the heterogeneity of the network structure. For the SIS model, the central issue is to determine an epidemic threshold separating an absorbing, disease-free state from an active phase on heterogeneous networks [10] [11] [12] [13] [14] [15] [16] [17] [18] . The simplest theory of epidemic spreading assumes that the population can be divided into different compartments according to the stage of the disease (for example, susceptible and infected in both SIS and CP models) and within each compartment, individuals (vertices in the complex networks' jargon) are assumed to be identical and have approximately the same number of neighbors (edges), k ≈ k . For these distributions, the second moment k 2 diverges in the limit of infinite sizes implying a vanishing threshold for the SIS model or, equivalently, the epidemic prevalence for any finite infection rate. ./cache/cord-125979-2c2agvex.txt ./txt/cord-125979-2c2agvex.txt