A Short History of Mathematical Population Dynamics

  • Nicolas Bacaër

Table of contents

  1. Front Matter
    Pages I-X
  2. Nicolas Bacaër
    Pages 1-3
  3. Nicolas Bacaër
    Pages 5-10
  4. Nicolas Bacaër
    Pages 35-39
  5. Nicolas Bacaër
    Pages 45-48
  6. Nicolas Bacaër
    Pages 59-63
  7. Nicolas Bacaër
    Pages 65-69
  8. Nicolas Bacaër
    Pages 77-80
  9. Nicolas Bacaër
    Pages 81-88
  10. Nicolas Bacaër
    Pages 97-100
  11. Nicolas Bacaër
    Pages 105-109

About this book

Introduction

<p>As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers.</p>

<p>This book traces the history of population dynamics---a theoretical subject closely connected to  genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to  percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine.</p>

<p>The reader of this book will see, from a different perspective, the problems that scientists face when  governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.</p>

Keywords

demography ecology epidemiology history mathematics population

Authors and affiliations

  • Nicolas Bacaër
    • 1
  1. 1.IRDBondy CedexFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-85729-115-8
  • Copyright Information Springer-Verlag London Limited 2011
  • Publisher Name Springer, London
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-85729-114-1
  • Online ISBN 978-0-85729-115-8
  • About this book