Spread of Infection on Homogeneous Tree

Autor:	Vadim Shcherbakov, Alexander Gairat
Rok vydání:	2020
Předmět:	Bernoulli differential equation Homogeneous tree Bernoulli's principle Distribution (number theory) Quantitative Biology::Populations and Evolution Applied mathematics Statistical model Logistic function Epidemic model Integral equation Mathematics
Zdroj:	SSRN Electronic Journal.
ISSN:	1556-5068
DOI:	10.2139/ssrn.3599875
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::87840ca9f574d2b97d42e4095d6f08ca https://doi.org/10.2139/ssrn.3599875 Zobrazit plný text záznamu