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An article collection in honour of Fred Brauer

Created 09 Feb 2022| Updated 13 Dec 2023 | 13 articles

This collection recognizes Fred Brauer’s valued contributions to applied mathematics, particularly in the modelling of epidemics, by combining articles that Fred published in JBD, with contributions in a Journal of Biological Dynamics special issue that is dedicated in his memory. Fred played an outsized role as a long-time member of the JBD Editorial Board and contributed enormously in JBD’s continuing success.

Edited by

Pauline van den Driessche, Professor Emeritus(Department of Mathematics and Statistics, University of Victoria)

Christopher Kribs(Mathematics Department, The University of Texas at Arlington)

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Introduction
Honoring the life and legacy of Fred Brauer
Christopher M. Kribs & Pauline van den Driessche

Originally published in Journal of Biological Dynamics, Volume: 17, Number: 1 (31 Dec 2023)

Published online: 21 Nov 2023
AbstractforHonoring the life and legacy of Fred Brauer | Full Text | PDF (586.6 KB)
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Article
A contact tracing SIR model for randomly mixed populations
Sam Bednarski, Laura L.E. Cowen, Junling Ma, Tanya Philippsen, P. van den Driessche & Manting Wang

Originally published in Journal of Biological Dynamics, Volume: 16, Number: 1 (31 Dec 2022)

Published online: 15 Dec 2022
AbstractforA contact tracing SIR model for randomly mixed populations | Full Text | References | PDF (2.5 MB)
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Article
Epidemic highs and lows: a stochastic diffusion model for active cases
Luis F. Gordillo, Priscilla E. Greenwood & Dana Strong

Originally published in Journal of Biological Dynamics, Volume: 17, Number: 1 (31 Dec 2023)

Published online: 15 Mar 2023
AbstractforEpidemic highs and lows: a stochastic diffusion model for active cases | Full Text | References | PDF (2.2 MB)
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Article
A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation
Fabio Sanchez, Jorge Arroyo-Esquivel & Juan G. Calvo

Originally published in Journal of Biological Dynamics, Volume: 17, Number: 1 (31 Dec 2023)

Published online: 20 Mar 2023
AbstractforA mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation | Full Text | References | PDF (2.5 MB)
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Article
Effects of behaviour change on HFMD transmission
Tongrui Zhang, Zhijie Zhang, Zhiyuan Yu, Qimin Huang & Daozhou Gao

Originally published in Journal of Biological Dynamics, Volume: 17, Number: 1 (31 Dec 2023)

Published online: 15 Aug 2023
AbstractforEffects of behaviour change on HFMD transmission | Full Text | References | PDF (2.5 MB)
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Article
A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile
Raimund Bürger, Gerardo Chowell, Ilja Kröker & Leidy Yissedt Lara-Díaz

Originally published in Journal of Biological Dynamics, Volume: 17, Number: 1 (31 Dec 2023)

Published online: 14 Sep 2023
AbstractforA computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile | Full Text | References | PDF (2.6 MB) | Supplemental
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Open Access
Article
Backward bifurcations in simple vaccination/treatment models
Fred Brauer

Originally published in Journal of Biological Dynamics, Volume: 5, Number: 5 (01 Sep 2011) THE SECOND INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING AND ANALYSIS OF POPULATIONS IN BIOLOGICAL SYSTEMS, UNIVERSITY OF ALABAMA IN HUNTSVILLE, USA, OCTOBER 9–11, 2009

Published online: 28 Mar 2011
AbstractforBackward bifurcations in simple vaccination/treatment models | Full Text | References | PDF (107.4 KB)
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Free Access
Article
A new epidemic model with indirect transmission
Fred Brauer

Originally published in Journal of Biological Dynamics, Volume: 11, Number: sup2 (11 Aug 2017) Selected Papers from the Fifth International Conference on Mathematical Modeling and Analysis of Populations in Biological Systems (ICMA V), University of Western Ontario, London, Ontario, Canada, 2-4 October 2015. Guest Editors: Lindi Wahl, Pei Yu and Xingfu Zou

Published online: 19 Jul 2016
AbstractforA new epidemic model with indirect transmission | Full Text | References | PDF (693.9 KB)
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Open Access
Article
Early estimates of epidemic final sizes
Fred Brauer

Originally published in Journal of Biological Dynamics, Volume: 13, Number: sup1 (15 Mar 2019) Selected Papers from the Sixth International Conference on Mathematical Modeling and Analysis of Populations in Biological Systems (ICMA VI), University of Arizona, USA, 20-22 October 2017

Published online: 09 May 2018
AbstractforEarly estimates of epidemic final sizes | Full Text | References | PDF (637.8 KB)
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Open Access
Article
Age of infection epidemic models with heterogeneous mixing
Fred Brauer & James Watmough

Originally published in Journal of Biological Dynamics, Volume: 3, Number: 2-3 (01 May 2009) DEDICATED TO JIM M. CUSHING ON THE OCCASION OF HIS 65TH BIRTHDAY GUEST EDITORS: SHANDELLE M. HENSON AND JIA LI

Published online: 03 Dec 2010
AbstractforAge of infection epidemic models with heterogeneous mixing | Full Text | References | PDF (68.6 KB)
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Free Access
Article
Estimates of tuberculosis progression rate of children in China
Hui Cao, Yicang Zhou & Fred Brauer

Originally published in Journal of Biological Dynamics, Volume: 6, Number: 2 (01 Mar 2012)

Published online: 12 Apr 2012
AbstractforEstimates of tuberculosis progression rate of children in China | Full Text | References | PDF (202.7 KB)
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Article
Epidemic progression on networks based on disease generation time
Bahman Davoudi, Flavia Moser, Fred Brauer & Babak Pourbohloul

Originally published in Journal of Biological Dynamics, Volume: 7, Number: 1 (01 Dec 2013)

Published online: 29 Jul 2013
AbstractforEpidemic progression on networks based on disease generation time | Full Text | References | PDF (275.1 KB)
  • 729 Views
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Editorial
Preface
Fred Brauer

Originally published in Journal of Biological Dynamics, Volume: 4, Number: 5 (01 Sep 2010) CONTACT NETWORKS IN EPIDEMIOLOGY

Published online: 13 Sep 2010
CitationforPreface | Full Text | References | PDF (22.7 KB)
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Free Access