Spread of infection on homogeneous tree. / Gairat, Alexander; Shcherbakov, Vadim.

2020. (ArXiv.org).

Research output: Working paper

In preparation

Abstract

This paper concerns a probabilistic model of spread of infection on a homogeneous tree. The model is related to stochastic SIR model on graphs. We derive an integral equation for the distribution of the waiting time for an individual to get infected. In a special case the integral equation is equivalent to the Bernoulli differential equation and implies the classic SIR model under an appropriate scaling.
Original languageEnglish
Number of pages14
Volumehttps://arxiv.org/abs/2005.04743
Publication statusIn preparation - 12 May 2020

Publication series

NameArXiv.org
This open access research output is licenced under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

ID: 38036961