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Mathematics

D-Index
39
Citations
6776
World Ranking
2185
National Ranking
147

Overview

Frank Ball is affiliated with the University of Nottingham in the United Kingdom and conducts research primarily in the fields of Mathematics and Medicine. Their work spans several key subfields, including Modeling and Simulation, Statistical and Nonlinear Physics, Infectious Diseases, Mathematical Physics, and Economics and Econometrics.

The scientist's research covers a range of topics such as COVID-19 epidemiological studies, stochastic processes and statistical mechanics, SARS-CoV-2 and COVID-19 research, complex network analysis techniques, COVID-19 pandemic impacts, mathematical and theoretical epidemiology and ecology models, and opinion dynamics and social influence.

Among recent publications by Frank Ball are:

  • The disease-induced herd immunity level for Covid-19 is substantially lower than the classical herd immunity level, 2020, bioRxiv (Cold Spring Harbor Laboratory)
  • Epidemics on networks with preventive rewiring, 2021, Repository@Nottingham (University of Nottingham)

Frequent co-authors collaborating with Frank Ball include Tom Britton, Pieter Trapman, Peter Neal, David Sirl, and Julia R. Gog.

The most common venues for their research publications are:

  • arXiv (Cornell University)
  • bioRxiv (Cold Spring Harbor Laboratory)
  • Advances in Applied Probability
  • Repository@Nottingham (University of Nottingham)
  • Journal of Mathematical Biology

Best Publications

  • A mathematical model reveals the influence of population heterogeneity on herd immunity to SARS-CoV-2.

    Tom Britton;Frank Ball;Pieter Trapman

  • Epidemics with two levels of mixing

    Frank Ball;Denis Mollison;Gianpaolo Scalia-Tomba

  • Strong approximations for epidemic models

    Frank Ball;Peter Donnelly

  • A Unified Approach to the Distribution of Total Size and Total Area under the Trajectory of Infectives in Epidemic Models

    Frank Ball

  • The threshold behaviour of epidemic models

    Frank Ball

  • A general model for stochastic SIR epidemics with two levels of mixing.

    Frank G. Ball;Peter J. Neal

  • Eight challenges for network epidemic models.

    Lorenzo Pellis;Frank Ball;Shweta Bansal;Ken T. D. Eames

  • Network epidemic models with two levels of mixing.

    Frank Ball;Peter Neal

  • Analysis of a stochastic SIR epidemic on a random network incorporating household structure.

    Frank G. Ball;David J. Sirl;Pieter Trapman

  • Stochastic models for ion channels: Introduction and bibliography

    Frank G. Ball;John A. Rice

  • Stochastic and deterministic models for SIS epidemics among a population partitioned into households.

    Frank Ball

  • Ion-channel gating mechanisms: model identification and parameter estimation from single channel recordings.

    F. G. Ball;M. S. P. Sansom

  • Markov, fractal, diffusion, and related models of ion channel gating. A comparison with experimental data from two ion channels

    M. S. P. Sansom;F. G. Ball;C. J. Kerry;R. Mcgee

  • Seven challenges for metapopulation models of epidemics, including households models

    Frank Ball;Tom Britton;Thomas A. House;Valerie Isham

  • The final size and severity of a generalised stochastic multitype epidemic model

    Frank Ball;Damian Clancy

  • Optimal vaccination policies for stochastic epidemics among a population of households.

    Frank G. Ball;Owen D. Lyne

  • Threshold behaviour and final outcome of an epidemic on a random network with household structure

    Frank G. Ball;David J. Sirl;Pieter Trapman

  • Reproduction numbers for epidemic models with households and other social structures. I. Definition and calculation of R0

    Lorenzo Pellis;Frank Ball;Pieter Trapman

  • DETERMINISTIC AND STOCHASTIC EPIDEMICS WITH SEVERAL KINDS OF SUSCEPTIBLES

    Frank Ball

  • Stochastic multi-type SIR epidemics among a population partitioned into households

    Frank G. Ball;Owen D. Lyne

Frequent Co-Authors

Tom Britton
Tom Britton Stockholm University
Mark S.P. Sansom
Mark S.P. Sansom University of Oxford
Peter Donnelly
Peter Donnelly University of Oxford

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