Mathematical Epidemiology

  • Fred Brauer
  • Pauline van den Driessche
  • Jianhong Wu

Part of the Lecture Notes in Mathematics book series (LNM, volume 1945)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Introduction and General Framework

  3. Advanced Modeling and Heterogeneities

  4. Case Studies

  5. Back Matter
    Pages 391-412

About this book

Introduction

Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation.

Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca ).

Keywords

Epidemiology Mathematical epidemiology Pandemic Influenza applied nonlinear dynamics epidemics mathematics for public health network modeling and stochastic analysis for disease spread nonlinear differential equations pandemics

Editors and affiliations

  • Fred Brauer
    • 1
  • Pauline van den Driessche
    • 2
  • Jianhong Wu
    • 3
  1. 1.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2.Department of Mathematics and StatisticsUniversity of VictoriaVictoriaCanada
  3. 3.Center for Disease Modeling Department of Mathematics and StatisticsYork UniversityTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-78911-6
  • Copyright Information Springer Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-78910-9
  • Online ISBN 978-3-540-78911-6
  • Series Print ISSN 0075-8434
  • About this book