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A simple finite delayed multi-type branching process for infectious disease modeling

Probability 2023-01-27 v5

Abstract

We study a model for the spread of an infectious disease which incorporates spatial and temporal effects. The model is a delayed multi-type branching process in which types represent geographic regions while infected individuals reproduce offspring during a finite time interval and have convalescence times and random death/recovery outcomes. We give simple expressions for the limit of the geometrically weighted mean evolution of the process.

Keywords

Cite

@article{arxiv.2101.06790,
  title  = {A simple finite delayed multi-type branching process for infectious disease modeling},
  author = {Andrew Hart and Servet Martínez},
  journal= {arXiv preprint arXiv:2101.06790},
  year   = {2023}
}

Comments

8 pages

R2 v1 2026-06-23T22:15:05.108Z