Advertisement

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
  12. Nicolas Bacaër
    Pages 111-116
  13. Nicolas Bacaër
    Pages 117-120
  14. Nicolas Bacaër
    Pages 121-126
  15. Nicolas Bacaër
    Pages 127-131
  16. Nicolas Bacaër
    Pages 133-140
  17. Nicolas Bacaër
    Pages 141-147
  18. Nicolas Bacaër
    Pages 149-153
  19. Back Matter
    Pages 155-160

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