Journal of Applied Probability
- J. Appl. Probab.
- Volume 51A (2014), 101-121.
The front of the epidemic spread and first passage percolation
We establish a connection between epidemic models on random networks with general infection times considered in Barbour and Reinert (2013) and first passage percolation. Using techniques developed in Bhamidi, van der Hofstad and Hooghiemstra (2012), when each vertex has infinite contagious periods, we extend results on the epidemic curve in Barbour and Reinert (2013) from bounded degree graphs to general sparse random graphs with degrees having finite second moments as n → ∞, with an appropriate X2log+X condition. We also study the epidemic trail between the source and typical vertices in the graph.
J. Appl. Probab., Volume 51A (2014), 101-121.
First available in Project Euclid: 2 December 2014
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Bhamidi, Shankar; van der Hofstad, Remco; Komjáthy, Júlia. The front of the epidemic spread and first passage percolation. J. Appl. Probab. 51A (2014), 101--121. doi:10.1239/jap/1417528470. https://projecteuclid.org/euclid.jap/1417528470