Editors:
- Allows students of mathematics to see the value of these methodologies applied to a global real-world problem
- Contains detailed explanations of mathematical models and their assumptions and limitations
- Provides a broad array of relevant mathematical models and current, timely research
Part of the book series: Fields Institute Communications (FIC, volume 85)
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Table of contents (16 chapters)
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Front Matter
About this book
Curated by the Fields Institute for Research in Mathematical Sciences from their COVID-19 Math Modelling Seminars, this first in a series of volumes on the mathematics of public health allows readers to access the dominant ideas and techniques being used in this area, while indicating problems for further research. This work brings together experts in mathematical modelling from across Canada and the world, presenting the latest modelling methods as they relate to the COVID-19 pandemic.
A primary aim of this book is to make the content accessible so that researchers share the core methods that may be applied elsewhere. The mathematical theories and technologies in this book can be used to support decision makers on critical issues such as projecting outbreak trajectories, evaluating public health interventions for infection prevention and control, developing optimal strategies to return to a new normal, and designing vaccine candidates and informing mass immunization program.
Topical coverage includes: basic susceptible-exposed-infectious-recovered (SEIR) modelling framework modified and applied to COVID-19 disease transmission dynamics; nearcasting and forecasting for needs of critical medical resources including personal protective equipment (PPE); predicting COVID-19 mortality; evaluating effectiveness of convalescent plasma treatment and the logistic implementation challenges; estimating impact of delays in contact tracing; quantifying heterogeneity in contact mixing and its evaluation with social distancing; modelling point of care diagnostics of COVID-19; and understanding non-reporting and underestimation.
Keywords
- Fields math modelling taskforce
- COVID-19 pandemic research
- mathematical methods COVID-19
- COVID-19 outbreak trajectories
- SEIR modeling
- transmission dynamics
- nearcasting COVID-19
- forecasting COVID-19
- plasma treatment COVID-19
- control measures
- reported and unreported cases
- regression analysis
- semi-parametric models
- generalized linear models
- generalized additive models
- statistical analysis
- data modeling
- link functions
- intermediate rank spline
- optimization
Editors and Affiliations
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Fields Institute for Research in Mathematical Sciences, Toronto, Canada
V. Kumar Murty
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Department of Mathematics and Statistics, York University, Toronto, Canada
Jianhong Wu
Bibliographic Information
Book Title: Mathematics of Public Health
Book Subtitle: Proceedings of the Seminar on the Mathematical Modelling of COVID-19
Editors: V. Kumar Murty, Jianhong Wu
Series Title: Fields Institute Communications
DOI: https://doi.org/10.1007/978-3-030-85053-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-030-85052-4Published: 09 February 2022
Softcover ISBN: 978-3-030-85055-5Published: 09 February 2023
eBook ISBN: 978-3-030-85053-1Published: 08 February 2022
Series ISSN: 1069-5265
Series E-ISSN: 2194-1564
Edition Number: 1
Number of Pages: X, 353
Number of Illustrations: 11 b/w illustrations, 84 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Public Health, Mathematical and Computational Biology, Optimization