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An Introduction to Mathematical Modeling of Infectious Diseases

  • Textbook
  • © 2018

Overview

Authors:
  1. Michael Y. Li

    1. Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada

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  • Uses five classic epidemic models to introduce different mathematical methods in model analysis
  • Provides a chapter on general theory of stability analysis for differential equations
  • Includes Matlab codes for numerical implementation
  • Accessible to non-mathematicians

Part of the book series: Mathematics of Planet Earth (MPE, volume 2)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
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  2. Important Concepts in Mathematical Modeling of Infectious Diseases

    • Michael Y. Li
    Pages 1-33

  3. Five Classic Epidemic Models and Their Analysis

    • Michael Y. Li
    Pages 35-77

  4. Basic Mathematical Tools and Techniques

    • Michael Y. Li
    Pages 79-101

  5. Parameter Estimation and Nonlinear Least-Squares Methods

    • Michael Y. Li
    Pages 103-124

  6. Special Topics

    • Michael Y. Li
    Pages 125-150

  7. Back Matter

    Pages 151-156
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Keywords

About this book

This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies.  The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis.  Matlab codes are also included for numerical implementations.

It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases.  Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.

Reviews

“The purpose is to present the proper expertise and techniques for the study of infectious disease either via self‐study or as a semester course. … This is an excellent resource for undergraduates, graduates, public health science students, or anyone interested in mathematical modeling. Although the examples mostly pertain to infectious diseases, the book could be applicable to various fields. I highly recommend this book, especially to the targeted audience.” (Puja Sitwala, Doody's Book Reviews, April, 2018)

“This book is a unique contribution to Springer's Mathematics of Planet Earth series, in which I have indulged myself for the past few weeks. It is suitable for upper undergraduate and beginning graduate students who are interested in mathematical modeling of epidemics.” (Yilun Shang, zbMATH 1396.92003, 2018)

Authors and Affiliations

  • Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada

    Michael Y. Li

About the author

Michael Y. Li is a Professor of Mathematics at the University of Alberta, Canada.  His research includes mathematical theory of differential equations and dynamical systems, mathematical modeling of immune systems, and mathematical modeling in public health sciences.

Bibliographic Information

  • Book Title: An Introduction to Mathematical Modeling of Infectious Diseases

  • Authors: Michael Y. Li

  • Series Title: Mathematics of Planet Earth

  • DOI: https://doi.org/10.1007/978-3-319-72122-4

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-72121-7Published: 08 February 2018

  • Softcover ISBN: 978-3-319-89144-6Published: 04 June 2019

  • eBook ISBN: 978-3-319-72122-4Published: 30 January 2018

  • Series ISSN: 2524-4264

  • Series E-ISSN: 2524-4272

  • Edition Number: 1

  • Number of Pages: X, 156

  • Number of Illustrations: 50 b/w illustrations

  • Topics: Mathematics of Planet Earth, Epidemiology, Infectious Diseases

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