Research Topics
 F BrauerSummaryAffiliation: University of British Columbia Country: Canada Publications
 Collaborators

Detail Information
Publications
 The KermackMcKendrick epidemic model revisitedFred Brauer
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
Math Biosci 198:11931. 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...  A model for influenza with vaccination and antiviral treatmentJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, Man, Canada
J Theor Biol 253:11830. 2008..Predictions of the deterministic compartmental models are in general agreement with those of the stochastic simulation models...  Some simple nosocomial disease transmission modelsFred Brauer
Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
Bull Math Biol 77:4609. 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. ..  Dynamics of an ageofinfection cholera modelFred Brauer
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
Math Biosci Eng 10:133549. 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. ..  Vaccination against 2009 pandemic H1N1 in a population dynamical model of Vancouver, Canada: timing is everythingJessica 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 citylevel contact network model to study different campaigns on influenza morbidity and mortality...  Epidemic models with heterogeneous mixing and treatmentFred Brauer
Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
Bull Math Biol 70:186985. 2008....  A simple model for behaviour change in epidemicsFred Brauer
Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
BMC Public Health 11:S3. 2011....  Some simple epidemic modelsFred Brauer
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
Math Biosci Eng 3:115. 2006..We consider some natural extensions of the KermackMcKendrick model and show that they share the main properties of the original model...  Discrete epidemic modelsFred Brauer
Mathematical, Computational Modeling Sciences Center, PO Box 871904, Arizona State University, Tempe, AZ 85287, United States
Math Biosci Eng 7:115. 2010..The emphasis is on comparisons driven by expressions for the final epidemic size...  Mathematical epidemiology is not an oxymoronFred 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...  Ageofinfection and the final size relationFred Brauer
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
Math Biosci Eng 5:68190. 2008..If there are disease deaths, the final size relation is an inequality but we obtain an estimate for the final epidemic size...  Models for transmission of disease with immigration of infectivesF Brauer
Department of Mathematics, University of British Columbia, Vancouver, BC, Canada V6T 1Z2
Math Biosci 171:14354. 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...  A final size relation for epidemic modelsJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
Math Biosci Eng 4:15975. 2007..Applications are given to specific models for influenza and SARS...  Oscillations in a patchy environment disease modelFred Brauer
Department of Mathematics, University of British Columbia, Vancouver, BC, Canada V8N 3R4
Math Biosci 215:110. 2008....  Simple models for containment of a pandemicJulien Arino
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
J R Soc Interface 3:4537. 2006..The model is applicable to preepidemic 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...  Calculation of R0 for ageofinfection modelsChristine K Yang
Harvard Graduate School of Education, Harvard University, Cambridge, MA 02138, USA
Math Biosci Eng 5:58599. 2008..The results give a considerable simplification in the calculation of the basic reproduction number...  Global analysis of discretetime SI and SIS epidemic modelsJianquan Li
Department of Applied Mathematics and Physics, Air Force Engineering University, Xi an 710051, China
Math Biosci Eng 4:699710. 2007..However, their reproduction numbers and therefore their asymptotic behavior can differ somewhat from that of the corresponding continuoustime model...  Modelling strategies for controlling SARS outbreaksAbba B Gumel
Institute of Industrial and Mathematical Sciences, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
Proc Biol Sci 271:222332. 2004..A communitywide eradication of SARS is feasible if optimal isolation is combined with a highly effective screening programme at the points of entry...