© 2018

An Introduction to Mathematical Modeling of Infectious Diseases


  • 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 Mathematics of Planet Earth book series (MPE, volume 2)

Table of contents

  1. Front Matter
    Pages i-x
  2. Michael Y. Li
    Pages 79-101
  3. Michael Y. Li
    Pages 125-150
  4. Back Matter
    Pages 151-156

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.


Mathematical Epidemiology Infectious Disease Mathematical Modelling Public Health Kermack-McKendrick Model Nonlinear Least Squares Viral Dynamics Differential Equations Stability Analysis Bifurcation Basic Reproduction Number Parameter Estimation Mathematics of Planet Earth

Authors and affiliations

  1. 1.Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada

About the authors

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


“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)