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Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling (2014)
Journal Article
Ball, F., González, M., Martínez, R., & Slavtchova-Bojkova, M. (2014). Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling. Bernoulli, 20(4), https://doi.org/10.3150/13-BEJ551

This paper is concerned with Crump-Mode-Jagers branching processes, describing spread of an epidemic depending on the proportion of the population that is vaccinated. Births in the branching process are aborted independently with a time-dependent pro... Read More about Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling.

Epidemics on random intersection graphs (2014)
Journal Article
Ball, F. G., Sirl, D. J., & Trapman, P. (2014). Epidemics on random intersection graphs. Annals of Applied Probability, 24(3), https://doi.org/10.1214/13-AAP942

In this paper we consider a model for the spread of a stochastic SIR (Susceptible → Infectious → Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of cliques, each of rando... Read More about Epidemics on random intersection graphs.