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An Introduction to Mathematical Population Dynamics

Along the trail of Volterra and Lotka

  • Mimmo Iannelli
  • Andrea Pugliese

Part of the UNITEXT book series (UNITEXT, volume 79)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 79)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. The growth of a single population

    1. Front Matter
      Pages 1-1
    2. Mimmo Iannelli, Andrea Pugliese
      Pages 3-37
    3. Mimmo Iannelli, Andrea Pugliese
      Pages 39-63
    4. Mimmo Iannelli, Andrea Pugliese
      Pages 65-90
    5. Mimmo Iannelli, Andrea Pugliese
      Pages 91-111
    6. Mimmo Iannelli, Andrea Pugliese
      Pages 113-142
  3. Multispecies Models

    1. Front Matter
      Pages 143-143
    2. Mimmo Iannelli, Andrea Pugliese
      Pages 145-173
    3. Mimmo Iannelli, Andrea Pugliese
      Pages 175-208
    4. Mimmo Iannelli, Andrea Pugliese
      Pages 209-264
    5. Mimmo Iannelli, Andrea Pugliese
      Pages 265-294
    6. Mimmo Iannelli, Andrea Pugliese
      Pages 295-314
    7. Mimmo Iannelli, Andrea Pugliese
      Pages 315-319
    8. Mimmo Iannelli, Andrea Pugliese
      Pages 321-328
    9. Mimmo Iannelli, Andrea Pugliese
      Pages 329-334
  4. Back Matter
    Pages 335-346

About this book

Introduction

This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.

Keywords

applied dynamical systems ecological modeling mathematical biology mathematical epidemiology molecular networks

Authors and affiliations

  • Mimmo Iannelli
    • 1
  • Andrea Pugliese
    • 1
  1. 1.Department of MathematicsUniversity of TrentoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03026-5
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-03025-8
  • Online ISBN 978-3-319-03026-5
  • Series Print ISSN 2038-5714
  • Buy this book on publisher's site