Mathematical Models in Population Biology and Epidemiology

  • Fred Brauer
  • Carlos Castillo-Chávez

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-Chávez
      Pages 3-49
    3. Fred Brauer, Carlos Castillo-Chávez
      Pages 51-94
    4. Fred Brauer, Carlos Castillo-Chávez
      Pages 95-124
  3. Models for Interacting Species

    1. Front Matter
      Pages 125-125
    2. Fred Brauer, Carlos Castillo-Chávez
      Pages 127-170
    3. Fred Brauer, Carlos Castillo-Chávez
      Pages 171-229
    4. Fred Brauer, Carlos Castillo-Chávez
      Pages 231-272
  4. Structured Populations Models

    1. Front Matter
      Pages 273-273
    2. Fred Brauer, Carlos Castillo-Chávez
      Pages 275-337
    3. Fred Brauer, Carlos Castillo-Chávez
      Pages 339-370
  5. Epilogue

    1. Fred Brauer, Carlos Castillo-Chávez
      Pages 371-372
  6. Back Matter
    Pages 373-417

About this book

Introduction

As the world population exceeds the six billion mark, questions of population explosion, of how many people the earth can support and under which conditions, become pressing. Some of the questions and challenges raised can be addressed through the use of mathemathical models, but not all. The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions such as these. Part I focusses on single-species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models - the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity - the subject of Part III. This book, which includes both examples and exercises, will be useful to practitioners, graduate students, and scientists working in the field.

Keywords

Biome Ecology Epidemiology biology evolution evolutionary biology population structure statistics

Authors and affiliations

  • Fred Brauer
    • 1
  • Carlos Castillo-Chávez
    • 2
    • 3
  1. 1.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2.Dept. of Theoretical and Applied MechanicsMathematical and Theoretical Biology InstituteUSA
  3. 3.Biometrics DepartmentCornell UniversityIthacaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3516-1
  • Copyright Information Springer-Verlag New York 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3182-5
  • Online ISBN 978-1-4757-3516-1
  • Series Print ISSN 0939-2475
  • About this book