Authors:
- A modern description of many important areas of mathematical epidemiology
- Provides an introduction to the formation and analysis of disease transmission models
- Exercise sets and some projects included
Part of the book series: Texts in Applied Mathematics (TAM, volume 69)
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Table of contents (17 chapters)
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Front Matter
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Basic Concepts of Mathematical Epidemiology
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Front Matter
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Models for Specific Diseases
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Front Matter
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The Future
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Front Matter
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About this book
The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future.
There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.
Reviews
“The projects and exercises at the end of each chapter are well thought and planned out, and probably my favorite part of the whole book. … I would recommend this book to anyone with the requisite mathematics background, who is more interested in the modeling aspects of epidemiology. I think it’s a nice complement to the existing literature, and I will likely be referring to it for useful examples in my own teaching.” (Roslyn Hickson, SIAM Review, Vol. 63 (3), September, 2021)
“Every practicing mathematical epidemiologist will want this book to occupy a prominent place in their library.” (Glenn Ledder, MAA Reviews, June 14, 2020)
“This book is suitable for upper level university students, it is also useful for public health professionals as manyof the model discussions are found accessible.” (Yilun Shang, zbMATH 1433.92001, 2020)
Authors and Affiliations
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Department of Mathematics, University of British Columbia, Vancouver, Canada
Fred Brauer
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Mathematical and Computational Modeling Center (MCMSC), Department of Mathematics and Statistics, Arizona State University, Tempe, USA
Carlos Castillo-Chavez
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Department of Mathematics, Purdue University, West Lafayette, USA
Zhilan Feng
About the authors
Carlos Castillo-Chavez is a Regents Professor, Joaquin Bustoz Jr. Professor of Mathematical Biology, Distinguished Sustainability Scientist and Founding Director of the Simon A. Levin Mathematical, Computational and Modeling Sciences Center at ASU. He has co-authored over 250 publications, most at the interface of the life, mathematics and social sciences. He was recognized with three White House Awards (1992, 1997, 2011), served on President Obama’s Committee on the National Medal of Science (2010-2015) and per the Mathematics Genealogy Project, is among the top 200 mentors of PhD students in the history of mathematics. He is a George Polya Lecturer (2017-19). He serves as a Provost Visiting Professor at Brown University (2019).
Zhilan Feng is a Professor of Mathematics at Purdue University. She is an editor for Journal of Theoretical Biology, Mathematical Biosciences, Mathematical Biosciences and Engineering, Journal of Biological Dynamics, and SIAM Journal on Applied Mathematics. She is a program director for the NSF Mathematical Biology Program 2019-2020.
Bibliographic Information
Book Title: Mathematical Models in Epidemiology
Authors: Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-1-4939-9828-9
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2019
Hardcover ISBN: 978-1-4939-9826-5Published: 11 October 2019
eBook ISBN: 978-1-4939-9828-9Published: 10 October 2019
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: XVIII, 619
Number of Illustrations: 54 b/w illustrations, 67 illustrations in colour
Topics: Physiological, Cellular and Medical Topics, Probability Theory and Stochastic Processes, Mathematical Modeling and Industrial Mathematics