An Introduction to Mathematical Epidemiology

  • Maia Martcheva

Part of the Texts in Applied Mathematics book series (TAM, volume 61)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Maia Martcheva
    Pages 1-8
  3. Maia Martcheva
    Pages 9-31
  4. Maia Martcheva
    Pages 67-89
  5. Maia Martcheva
    Pages 91-121
  6. Maia Martcheva
    Pages 123-148
  7. Maia Martcheva
    Pages 183-214
  8. Maia Martcheva
    Pages 215-248
  9. Maia Martcheva
    Pages 249-279
  10. Maia Martcheva
    Pages 301-329
  11. Maia Martcheva
    Pages 331-360
  12. Maia Martcheva
    Pages 361-386
  13. Maia Martcheva
    Pages 415-440
  14. Back Matter
    Pages 441-453

About this book

Introduction

The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. It includes model building, fitting to data, local and global analysis techniques. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models. It includes various techniques for the computation of the basic reproduction number as well as approaches to the epidemiological interpretation of the reproduction number. MATLAB code is included to facilitate the data fitting and the simulation with age-structured models.

Keywords

Data Fitting Epidemic Modeling Infectious Diseases Mathematical Epidemiology Mathematical Modeling Ordinary Differential Equations Population Dynamics

Authors and affiliations

  • Maia Martcheva
    • 1
  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4899-7612-3
  • Copyright Information Springer Science+Business Media New York 2015
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4899-7611-6
  • Online ISBN 978-1-4899-7612-3
  • Series Print ISSN 0939-2475
  • Series Online ISSN 2196-9949
  • About this book
Industry Sectors
Pharma