English

SIR epidemics on a scale-free spatial nested modular network with a non-trivial threshold

Probability 2011-07-11 v1

Abstract

We propose a class of random scale-free spatial networks with nested community structures and analyze Reed-Frost epidemics with community related independent transmissions. We show that the epidemic threshold may be trivial or not depending on the relation among community sizes, distribution of the number of communities and transmission rates

Keywords

Cite

@article{arxiv.1107.1532,
  title  = {SIR epidemics on a scale-free spatial nested modular network with a non-trivial threshold},
  author = {Lorenzo Cecconi and Alberto Gandolfi},
  journal= {arXiv preprint arXiv:1107.1532},
  year   = {2011}
}

Comments

20 pages, 1 figure

R2 v1 2026-06-21T18:33:50.139Z