All Outputs (6)

Uncertainty in geometry of fibre preforms manufactured with Automated Dry Fibre Placement and its effects on permeability (2017)
Journal Article
Matveev, M. Y., Ball, F. G., Jones, I. A., Long, A. C., Schubel, P. J., & Tretyakov, M. V. (2018). Uncertainty in geometry of fibre preforms manufactured with Automated Dry Fibre Placement and its effects on permeability. Journal of Composite Materials, 52(16), 2255-2269. https://doi.org/10.1177/0021998317741951

© 2017, The Author(s) 2017. Resin transfer moulding is one of several processes available for manufacturing fibre-reinforced composites from dry fibre reinforcement. Recently, dry reinforcements made with Automated Dry Fibre Placement have been intro... Read More about Uncertainty in geometry of fibre preforms manufactured with Automated Dry Fibre Placement and its effects on permeability.

Evaluation of vaccination strategies for SIR epidemics on random networks incorporating household structure (2017)
Journal Article
Ball, F., & Sirl, D. J. (2018). Evaluation of vaccination strategies for SIR epidemics on random networks incorporating household structure. Journal of Mathematical Biology, 76(1/2), https://doi.org/10.1007/s00285-017-1139-0

This paper is concerned with the analysis of vaccination strategies in a stochastic SIR (susceptible ? infected ? removed) model for the spread of an epidemic amongst a population of individuals with a random network of social contacts that is also p... Read More about Evaluation of vaccination strategies for SIR epidemics on random networks incorporating household structure.

The asymptotic variance of the giant component of configuration model random graphs (2017)
Journal Article
Ball, F., & Neal, P. (2017). The asymptotic variance of the giant component of configuration model random graphs. Annals of Applied Probability, 27(2), https://doi.org/10.1214/16-AAP1225

For a supercritical configuration model random graph it is well known that, subject to mild conditions, there exists a unique giant component, whose size $R_n$ is $O (n)$, where $n$ is the total number of vertices in the random graph. Moreover, there... Read More about The asymptotic variance of the giant component of configuration model random graphs.

The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models (2017)
Journal Article
Wilkinson, R. R., Ball, F. G., & Sharkey, K. J. (2017). The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models. Journal of Mathematical Biology, 75(6-7), 1563-1590. https://doi.org/10.1007/s00285-017-1123-8

We consider a very general stochastic model for an SIR epidemic on a network which allows an individual’s infectious period, and the time it takes to contact each of its neighbours after becoming infected, to be correlated. We write down the message... Read More about The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models.

An epidemic in a dynamic population with importation of infectives (2017)
Journal Article
Ball, F., Britton, T., & Trapman, P. (2017). An epidemic in a dynamic population with importation of infectives. Annals of Applied Probability, 27(1), https://doi.org/10.1214/16-AAP1203

Consider a large uniformly mixing dynamic population, which has constant birth rate and exponentially distributed lifetimes, with mean population size $n$. A Markovian SIR (susceptible $\to$ infective $\to$ recovered) infectious disease, having impo... Read More about An epidemic in a dynamic population with importation of infectives.

Heterogeneous network epidemics: real-time growth, variance and extinction of infection (2017)
Journal Article
Ball, F., & House, T. (2017). Heterogeneous network epidemics: real-time growth, variance and extinction of infection. Journal of Mathematical Biology, 75(3), 577-619. https://doi.org/10.1007/s00285-016-1092-3

© 2017, The Author(s). Recent years have seen a large amount of interest in epidemics on networks as a way of representing the complex structure of contacts capable of spreading infections through the modern human population. The configuration model... Read More about Heterogeneous network epidemics: real-time growth, variance and extinction of infection.