F Brauer

Summary

Affiliation: University of British Columbia
Country: Canada

Publications

  1. ncbi The Kermack-McKendrick epidemic model revisited
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
    Math Biosci 198:119-31. 2005
  2. doi A model for influenza with vaccination and antiviral treatment
    Julien Arino
    Department of Mathematics, University of Manitoba, Winnipeg, Man, Canada
    J Theor Biol 253:118-30. 2008
  3. doi Some simple nosocomial disease transmission models
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
    Bull Math Biol 77:460-9. 2015
  4. doi Dynamics of an age-of-infection cholera model
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
    Math Biosci Eng 10:1335-49. 2013
  5. pmc Vaccination against 2009 pandemic H1N1 in a population dynamical model of Vancouver, Canada: timing is everything
    Jessica M Conway
    Division of Mathematical Modeling, University of British Columbia Centre for Disease Control, 655 West 12th Avenue, V5Z 4R4 Vancouver, British Columbia, Canada
    BMC Public Health 11:932. 2011
  6. doi Epidemic models with heterogeneous mixing and treatment
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
    Bull Math Biol 70:1869-85. 2008
  7. pmc A simple model for behaviour change in epidemics
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
    BMC Public Health 11:S3. 2011
  8. ncbi Some simple epidemic models
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
    Math Biosci Eng 3:1-15. 2006
  9. doi Discrete epidemic models
    Fred Brauer
    Mathematical, Computational Modeling Sciences Center, PO Box 871904, Arizona State University, Tempe, AZ 85287, United States
    Math Biosci Eng 7:1-15. 2010
  10. pmc Mathematical epidemiology is not an oxymoron
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
    BMC Public Health 9:S2. 2009

Collaborators

Detail Information

Publications18

  1. ncbi The Kermack-McKendrick epidemic model revisited
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
    Math Biosci 198:119-31. 2005
    ..All these models share the basic properties that there is a threshold between disappearance of the disease and an epidemic outbreak, and that an epidemic will die out without infecting the entire population...
  2. doi A model for influenza with vaccination and antiviral treatment
    Julien Arino
    Department of Mathematics, University of Manitoba, Winnipeg, Man, Canada
    J Theor Biol 253:118-30. 2008
    ..Predictions of the deterministic compartmental models are in general agreement with those of the stochastic simulation models...
  3. doi Some simple nosocomial disease transmission models
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
    Bull Math Biol 77:460-9. 2015
    ..We formulate and analyze a simple compartmental model with heterogeneous mixing to describe nosocomial transmission and determine the reproduction number and final size relation. ..
  4. doi Dynamics of an age-of-infection cholera model
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
    Math Biosci Eng 10:1335-49. 2013
    ..The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final size relations for cholera outbreaks are derived for simplified models when input and death are neglected. ..
  5. pmc Vaccination against 2009 pandemic H1N1 in a population dynamical model of Vancouver, Canada: timing is everything
    Jessica M Conway
    Division of Mathematical Modeling, University of British Columbia Centre for Disease Control, 655 West 12th Avenue, V5Z 4R4 Vancouver, British Columbia, Canada
    BMC Public Health 11:932. 2011
    ..We adapted a city-level contact network model to study different campaigns on influenza morbidity and mortality...
  6. doi Epidemic models with heterogeneous mixing and treatment
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
    Bull Math Biol 70:1869-85. 2008
    ....
  7. pmc A simple model for behaviour change in epidemics
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
    BMC Public Health 11:S3. 2011
    ....
  8. ncbi Some simple epidemic models
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
    Math Biosci Eng 3:1-15. 2006
    ..We consider some natural extensions of the Kermack-McKendrick model and show that they share the main properties of the original model...
  9. doi Discrete epidemic models
    Fred Brauer
    Mathematical, Computational Modeling Sciences Center, PO Box 871904, Arizona State University, Tempe, AZ 85287, United States
    Math Biosci Eng 7:1-15. 2010
    ..The emphasis is on comparisons driven by expressions for the final epidemic size...
  10. pmc Mathematical epidemiology is not an oxymoron
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
    BMC Public Health 9:S2. 2009
    ..Our purpose is to demonstrate the importance of mathematical modelling for the understanding and management of infectious disease transmission...
  11. ncbi Age-of-infection and the final size relation
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
    Math Biosci Eng 5:681-90. 2008
    ..If there are disease deaths, the final size relation is an inequality but we obtain an estimate for the final epidemic size...
  12. ncbi Models for transmission of disease with immigration of infectives
    F Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, Canada V6T 1Z2
    Math Biosci 171:143-54. 2001
    ..A considerable reduction of infectives is suggested by the incorporation of screening and quarantining of infectives in a model for HIV transmission in a prison system...
  13. ncbi A final size relation for epidemic models
    Julien Arino
    Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
    Math Biosci Eng 4:159-75. 2007
    ..Applications are given to specific models for influenza and SARS...
  14. doi Oscillations in a patchy environment disease model
    Fred Brauer
    Department of Mathematics, University of British Columbia, Vancouver, BC, Canada V8N 3R4
    Math Biosci 215:1-10. 2008
    ....
  15. pmc Simple models for containment of a pandemic
    Julien Arino
    Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
    J R Soc Interface 3:453-7. 2006
    ..The model is applicable to pre-epidemic vaccination, such as annual vaccination programs in anticipation of an 'ordinary' influenza outbreak with limited drift, and as a combination of treatment both before and during an epidemic...
  16. ncbi Calculation of R0 for age-of-infection models
    Christine K Yang
    Harvard Graduate School of Education, Harvard University, Cambridge, MA 02138, USA
    Math Biosci Eng 5:585-99. 2008
    ..The results give a considerable simplification in the calculation of the basic reproduction number...
  17. ncbi Global analysis of discrete-time SI and SIS epidemic models
    Jianquan Li
    Department of Applied Mathematics and Physics, Air Force Engineering University, Xi an 710051, China
    Math Biosci Eng 4:699-710. 2007
    ..However, their reproduction numbers and therefore their asymptotic behavior can differ somewhat from that of the corresponding continuous-time model...
  18. pmc Modelling strategies for controlling SARS outbreaks
    Abba B Gumel
    Institute of Industrial and Mathematical Sciences, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
    Proc Biol Sci 271:2223-32. 2004
    ..A community-wide eradication of SARS is feasible if optimal isolation is combined with a highly effective screening programme at the points of entry...