English

Renewal contact process with dormancy

Probability 2025-03-06 v2

Abstract

We consider the contact process with dormancy, where wake-up times follow a renewal process. Without infection between dormant individuals, we show that the process under certain conditions grows at most logarithmically. On the other hand, if infections between dormant individuals are possible, the process survives with positive probability even on finite graphs.

Keywords

Cite

@article{arxiv.2410.20863,
  title  = {Renewal contact process with dormancy},
  author = {Noemi Kurt and Michel Reitmeier and András Tóbiás},
  journal= {arXiv preprint arXiv:2410.20863},
  year   = {2025}
}

Comments

14 pages

R2 v1 2026-06-28T19:37:47.877Z