Frank Ball

Summary

Affiliation: University of Nottingham
Country: UK

Publications

  1. doi request reprint Network epidemic models with two levels of mixing
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, UK
    Math Biosci 212:69-87. 2008
  2. doi request reprint Household epidemic models with varying infection response
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK
    J Math Biol 63:309-37. 2011
  3. doi request reprint Stochastic epidemic models featuring contact tracing with delays
    Frank G Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK Electronic address
    Math Biosci 266:23-35. 2015
  4. doi request reprint Estimating the within-household infection rate in emerging SIR epidemics among a community of households
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK
    J Math Biol 71:1705-35. 2015
  5. doi request reprint Seven challenges for metapopulation models of epidemics, including households models
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK Electronic address
    Epidemics 10:63-7. 2015
  6. doi request reprint A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    J Math Biol 66:979-1019. 2013
  7. ncbi request reprint A general model for stochastic SIR epidemics with two levels of mixing
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 180:73-102. 2002
  8. doi request reprint Analysis of a stochastic SIR epidemic on a random network incorporating household structure
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 224:53-73. 2010
  9. doi request reprint An epidemic model with infector and exposure dependent severity
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 218:105-20. 2009
  10. doi request reprint Control of emerging infectious diseases using responsive imperfect vaccination and isolation
    Frank G Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 216:100-13. 2008

Detail Information

Publications17

  1. doi request reprint Network epidemic models with two levels of mixing
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, UK
    Math Biosci 212:69-87. 2008
    ....
  2. doi request reprint Household epidemic models with varying infection response
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK
    J Math Biol 63:309-37. 2011
    ....
  3. doi request reprint Stochastic epidemic models featuring contact tracing with delays
    Frank G Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK Electronic address
    Math Biosci 266:23-35. 2015
    ....
  4. doi request reprint Estimating the within-household infection rate in emerging SIR epidemics among a community of households
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK
    J Math Biol 71:1705-35. 2015
    ....
  5. doi request reprint Seven challenges for metapopulation models of epidemics, including households models
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK Electronic address
    Epidemics 10:63-7. 2015
    ....
  6. doi request reprint A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    J Math Biol 66:979-1019. 2013
    ....
  7. ncbi request reprint A general model for stochastic SIR epidemics with two levels of mixing
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 180:73-102. 2002
    ....
  8. doi request reprint Analysis of a stochastic SIR epidemic on a random network incorporating household structure
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 224:53-73. 2010
    ..The effects of the amount of clustering present in the overall population structure and the infectious period distribution on the outcomes of the model are also explored...
  9. doi request reprint An epidemic model with infector and exposure dependent severity
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 218:105-20. 2009
    ....
  10. doi request reprint Control of emerging infectious diseases using responsive imperfect vaccination and isolation
    Frank G Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 216:100-13. 2008
    ..They also suggest that an effective isolation policy has a more significant impact than vaccination. The results show that R* alone is not sufficient to summarise the potential for an epidemic...
  11. ncbi request reprint Optimal vaccination schemes for epidemics among a population of households, with application to variola minor in Brazil
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Stat Methods Med Res 15:481-97. 2006
    ..The theory is illustrated by application to data on a variola minor outbreak in São Paulo, which, together with other examples, is used to highlight key issues related to vaccination schemes...
  12. ncbi request reprint Control of transmission with two types of infection
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 200:170-87. 2006
    ..These judgements are made by comparing the post-vaccination reproduction numbers corresponding to different vaccination strategies...
  13. ncbi request reprint A unified approach to burst properties of multiconductance single ion channels
    Frank G Ball
    School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK
    Math Med Biol 21:205-45. 2004
    ....
  14. ncbi request reprint Optimal vaccination policies for stochastic epidemics among a population of households
    Frank G Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 177:333-54. 2002
    ..New explicit results are obtained by a constructive method which explain the form of optimal vaccination policies. Numerical studies are presented which exemplify the results discussed...
  15. ncbi request reprint Stochastic multitype epidemics in a community of households: estimation and form of optimal vaccination schemes
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, England, UK
    Math Biosci 191:19-40. 2004
    ..Two different types of vaccine responses, leaky and all-or-nothing, are considered and compared for the problems mentioned above. The methods are illustrated with some numerical examples...
  16. doi request reprint Reproduction numbers for epidemic models with households and other social structures II: Comparisons and implications for vaccination
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Math Biosci 274:108-39. 2016
    ..In addition, we provide significantly sharper bounds than the existing ones for bracketing the critical vaccination coverage between two analytically tractable quantities, which we illustrate by means of extensive numerical examples. ..
  17. doi request reprint Heterogeneous network epidemics: real-time growth, variance and extinction of infection
    Frank Ball
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK
    J Math Biol . 2017
    ....