Homogeneous assumption and the logistic behavior of information propagation

Many models of disease and rumor-spreading phenomena average the behavior of individuals in a population in order to obtain a coarse description of expected system behavior. For these types of models, we determine how close the coarse approximation is to its corresponding agent-based system. These findings lead to a general result on the logistic behavior of information propagation for networks on both connected graphs with doubly stochastic edge weights, and connected graphs with symmetric edge weights. Moreover, we discuss the appropriateness of the discrete logistic approximation for a few example heterogeneous graph topologies.