Homogeneous assumption and the logistic behavior of information propagation

Michael Busch, Jeff Moehlis
2012 Physical Review E  
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
more » ... weights. Moreover, we discuss the appropriateness of the discrete logistic approximation for a few example heterogeneous graph topologies.
doi:10.1103/physreve.85.026102 pmid:22463274 fatcat:r3dc4zan7nbfxe4zeehthkchue