The front of the epidemic spread and first passage percolation

Onderzoeksoutput: Boek/rapportRapportAcademic

59 Downloads (Pure)

Uittreksel

In this paper we establish a connection between epidemic models on random networks with general infection times considered in [2] and first passage percolation. Using techniques developed in [6], when each vertex has infinite contagious periods, we extend results on the epidemic curve in [2] from bounded degree graphs to general sparse random graphs with degrees having finite third moments as n ¿ 8. We also study the epidemic trail between the source and typical vertices in the graph. This connection to first passage percolation can be also be used to study epidemic models with general contagious periods as in [2] without bounded degree assumptions.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijEurandom
Aantal pagina's14
StatusGepubliceerd - 2013

Publicatie series

NaamReport Eurandom
Volume2013023
ISSN van geprinte versie1389-2355

Vingerafdruk

First-passage Percolation
Epidemic Model
Sparse Graphs
Random Networks
Graph in graph theory
Random Graphs
Infection
Moment
Curve
Vertex of a graph

Citeer dit

Bhamidi, S., Hofstad, van der, R. W., & Komjáthy, J. (2013). The front of the epidemic spread and first passage percolation. (Report Eurandom; Vol. 2013023). Eindhoven: Eurandom.
Bhamidi, S. ; Hofstad, van der, R.W. ; Komjáthy, J. / The front of the epidemic spread and first passage percolation. Eindhoven : Eurandom, 2013. 14 blz. (Report Eurandom).
@book{209f537c04b44e9fafed0486253f563c,
title = "The front of the epidemic spread and first passage percolation",
abstract = "In this paper we establish a connection between epidemic models on random networks with general infection times considered in [2] and first passage percolation. Using techniques developed in [6], when each vertex has infinite contagious periods, we extend results on the epidemic curve in [2] from bounded degree graphs to general sparse random graphs with degrees having finite third moments as n ¿ 8. We also study the epidemic trail between the source and typical vertices in the graph. This connection to first passage percolation can be also be used to study epidemic models with general contagious periods as in [2] without bounded degree assumptions.",
author = "S. Bhamidi and {Hofstad, van der}, R.W. and J. Komj{\'a}thy",
year = "2013",
language = "English",
series = "Report Eurandom",
publisher = "Eurandom",

}

Bhamidi, S, Hofstad, van der, RW & Komjáthy, J 2013, The front of the epidemic spread and first passage percolation. Report Eurandom, vol. 2013023, Eurandom, Eindhoven.

The front of the epidemic spread and first passage percolation. / Bhamidi, S.; Hofstad, van der, R.W.; Komjáthy, J.

Eindhoven : Eurandom, 2013. 14 blz. (Report Eurandom; Vol. 2013023).

Onderzoeksoutput: Boek/rapportRapportAcademic

TY - BOOK

T1 - The front of the epidemic spread and first passage percolation

AU - Bhamidi, S.

AU - Hofstad, van der, R.W.

AU - Komjáthy, J.

PY - 2013

Y1 - 2013

N2 - In this paper we establish a connection between epidemic models on random networks with general infection times considered in [2] and first passage percolation. Using techniques developed in [6], when each vertex has infinite contagious periods, we extend results on the epidemic curve in [2] from bounded degree graphs to general sparse random graphs with degrees having finite third moments as n ¿ 8. We also study the epidemic trail between the source and typical vertices in the graph. This connection to first passage percolation can be also be used to study epidemic models with general contagious periods as in [2] without bounded degree assumptions.

AB - In this paper we establish a connection between epidemic models on random networks with general infection times considered in [2] and first passage percolation. Using techniques developed in [6], when each vertex has infinite contagious periods, we extend results on the epidemic curve in [2] from bounded degree graphs to general sparse random graphs with degrees having finite third moments as n ¿ 8. We also study the epidemic trail between the source and typical vertices in the graph. This connection to first passage percolation can be also be used to study epidemic models with general contagious periods as in [2] without bounded degree assumptions.

M3 - Report

T3 - Report Eurandom

BT - The front of the epidemic spread and first passage percolation

PB - Eurandom

CY - Eindhoven

ER -

Bhamidi S, Hofstad, van der RW, Komjáthy J. The front of the epidemic spread and first passage percolation. Eindhoven: Eurandom, 2013. 14 blz. (Report Eurandom).