Mathematical Models in Population Biology and Epidemiology

  • Fred Brauer
  • Carlos Castillo-Chavez

Part of the Texts in Applied Mathematics book series (TAM, volume 40)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Simple Single Species Models

    1. Front Matter
      Pages 1-1
    2. Fred Brauer, Carlos Castillo-Chavez
      Pages 3-47
    3. Fred Brauer, Carlos Castillo-Chavez
      Pages 49-90
    4. Fred Brauer, Carlos Castillo-Chavez
      Pages 91-120
  3. Models for Interacting Species

    1. Front Matter
      Pages 121-121
    2. Fred Brauer, Carlos Castillo-Chavez
      Pages 123-164
    3. Fred Brauer, Carlos Castillo-Chavez
      Pages 165-221
    4. Fred Brauer, Carlos Castillo-Chavez
      Pages 223-264
  4. Structured Population Models

    1. Front Matter
      Pages 265-265
    2. Fred Brauer, Carlos Castillo-Chavez
      Pages 267-291
    3. Fred Brauer, Carlos Castillo-Chavez
      Pages 293-341
  5. Disease Transmission Models

    1. Front Matter
      Pages 343-343
    2. Fred Brauer, Carlos Castillo-Chavez
      Pages 345-409
    3. Fred Brauer, Carlos Castillo-Chavez
      Pages 411-464
  6. Back Matter
    Pages 465-508

About this book

Introduction

This textbook provides an introduction to the field of mathematical biology through the integration of classical applications in ecology with more recent applications to epidemiology, particularly in the context of spread of infectious diseases. It integrates modeling, mathematics, and applications in a semi-rigorous way, stating theoretical results and giving references but not necessarily giving detailed proofs, providing a solid introduction to the field to undergraduates (junior and senior level), graduate students in applied mathematics, ecology, epidemiology or evolutionary biology, sustainability scientists, and to researchers who must routinely read the practical and theoretical results that come from modeling in ecology and epidemiology.

 

This new edition has been updated throughout. In particular the chapters on epidemiology have been updated and extended considerably, and there is a new chapter on spatially structured populations that incorporates dispersal. The number of problems has been increased and the number of projects has more than doubled, in particular those stressing connections to data.  In addition some examples, exercises, and projects include use of Maple and Matlab.

 Review of first edition:

  "A strength of the book is the large  number of biologically-motivated problem sets. These and the references to the original biological  papers would be valuable resources for an instructor." (UK Nonlinear News, 2001)

Keywords

Epidemiology Mathematical Biology Mathematical Ecology Population Biology Population Dynamics Population Ecology Resource Management

Authors and affiliations

  • Fred Brauer
    • 1
  • Carlos Castillo-Chavez
    • 2
  1. 1.Dept. MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2.Dept. Mathematics & Statistics, Mathematical and Computational Modeling Sciences Center (MCMArizona State UniversityTempeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-1686-9
  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-1685-2
  • Online ISBN 978-1-4614-1686-9
  • Series Print ISSN 0939-2475
  • About this book