The N-Intertwined Mean Field Approximation (NIMFA) is a reasonably accurate approximation of the exact SIS epidemic process on a network. The average fraction of infected nodes in the NIMFA steady state, also called the steady-state prevalence, in terms of the effective infection rate can be expanded into a power series around the NIMFA epidemic threshold. In this paper, we investigate the convergence of the steady-state prevalence Taylor expansion. We determine the radius of convergence in some special types of graphs. We also show that the radius of convergence of the steady-state prevalence expansion depends upon the network topology, in particular, the average degree of the network and the spectral gap of the adjacency matrix play a role.

Original languageEnglish
Article number123220
Pages (from-to)1-13
Number of pages13
JournalPhysica A: Statistical Mechanics and its Applications
Volume540
DOIs
Publication statusPublished - 2020

    Research areas

  • NIMFA, Radius of convergence, SIS prevalence, Taylor expansion

ID: 66537745