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Mathematics

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42
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1747
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Research.com Recognitions

  • 2015 - SIAM Fellow For contributions to differential equations, predator-prey systems and harvesting, mathematical epidemiology of infectious diseases, and applied mathematics education.

Overview

Fred Brauer is affiliated with the University of British Columbia in Canada. Their research primarily focuses on the field of Medicine, with specific interests spanning several subfields including Public Health, Environmental and Occupational Health, Modeling and Simulation, Infectious Diseases, Genetics, and General Health Professions.

Their work covers multiple topics within mathematical and theoretical epidemiology and ecology models, as well as COVID-19 epidemiological studies. Additional focal areas include viral infections and vectors, mosquito-borne diseases and control, evolution and genetic dynamics, adolescent sexual and reproductive health, and issues relating to HIV, drug use, and sexual risk.

Some of their recent papers include:

  • A novel approach to modelling the spatial spread of airborne diseases: an epidemic model with indirect transmission (2020, Mathematical Biosciences & Engineering)
  • Modelling and simulating Chikungunya spread with an unstructured triangular cellular automata (2020, Infectious Disease Modelling)
  • The Effect of Face Mask Use on COVID-19 Models (2021, Epidemiologia)
  • A co-interaction model of HIV and syphilis infection among gay, bisexual and other men who have sex with men (2020, Infectious Disease Modelling)

These papers contribute to the body of work published in venues such as Infectious Disease Modelling, Mathematical Biosciences & Engineering, and Epidemiologia.

The researcher collaborates frequently with several co-authors including Jummy David, Sarafa A. Iyaniwura, Michael J. Ward, Gerardo Mario Ortigoza Capetillo, and Iris Neri-Flores.

Fred Brauer received recognition as a SIAM Fellow in 2015 for contributions to differential equations, predator-prey systems and harvesting, mathematical epidemiology of infectious diseases, and applied mathematics education.

Best Publications

  • Mathematical Models in Population Biology and Epidemiology

    Fred Brauer;Carlos Castillo-Chavez

  • Mathematical Models in Epidemiology

    Fred Brauer;Carlos Castillo-Chavez;Zhilan Feng

  • The Qualitative Theory of Ordinary Differential Equations: An Introduction

    Fred Brauer;John A. Nohel

  • Compartmental Models in Epidemiology

    Fred Brauer

  • Modelling strategies for controlling SARS outbreaks

    Abba B. Gumel;Shigui Ruan;Troy Day;James Watmough

  • Mathematical epidemiology: Past, present, and future.

    Fred Brauer

  • Models for transmission of disease with immigration of infectives.

    Fred Brauer;P. van den Driessche

  • Backward bifurcations in simple vaccination models

    Fred Brauer

  • Simple models for containment of a pandemic

    Julien Arino;Fred Brauer;P van den Driessche;James Watmough

  • The Kermack-McKendrick epidemic model revisited.

    Fred Brauer

  • Stability regions in predator-prey systems with constant-rate prey harvesting

    F. Brauer;A. C. Soudack

  • Stability regions and transition phenomena for harvested predator-prey systems

    F. Brauer;A. C. Soudack

  • A model for influenza with vaccination and antiviral treatment

    Julien Arino;Fred Brauer;P. van den Driessche;James Watmough

  • A final size relation for epidemic models

    Julien Arino;Fred Brauer;P. van den Driessche;James Watmough

  • A discrete epidemic model for SARS transmission and control in China

    Yicang Zhou;Zhien Ma;F. Brauer

  • Perturbations of nonlinear systems of differential equations, IV

    Fred Brauer;Fred Brauer

  • Coexistence Properties of Some Predator-Prey Systems under Constant Rate Harvesting and Stocking.

    F. Brauer;A. C. Soudack

  • Estimate of the reproduction number of the 2015 Zika virus outbreak in Barranquilla, Colombia, and estimation of the relative role of sexual transmission.

    Sherry Towers;Fred Brauer;Carlos Castillo-Chavez;Andrew K I Falconar

  • Models for the spread of universally fatal diseases.

    F. Brauer

  • Constant rate population harvesting: Equilibrium and stability

    Fred Brauer;David A. Sánchez

Frequent Co-Authors

P. van den Driessche
P. van den Driessche University of Victoria
Gerardo Chowell
Gerardo Chowell Georgia State University
Christopher N. Bowman
Christopher N. Bowman University of Colorado Boulder
Vladimir I. Arnold
Vladimir I. Arnold Russian Academy of Sciences
Shigui Ruan
Shigui Ruan University of Miami
Hans Schneider
Hans Schneider University of Wisconsin–Madison
Robert C. Brunham
Robert C. Brunham University of British Columbia
Danuta M. Skowronski
Danuta M. Skowronski University of British Columbia
Janet E Foley
Janet E Foley University of California, Davis
Michael J. Ward
Michael J. Ward University of British Columbia

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