Prevalence expansion in NIMFA

Zhidong He*, Piet Van Mieghem

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)


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
Publication statusPublished - 2020


  • Radius of convergence
  • SIS prevalence
  • Taylor expansion


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