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© 2014

An Introduction to Mathematical Population Dynamics

Along the trail of Volterra and Lotka

  • Extended overview of applications of Mathematics to Biology

  • Attention to mathematical rigour in applied and empirical context

  • Detailed construction of models

  • A collection of problems designed to approach more advanced questions

Textbook

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

  1. 1.Department of MathematicsUniversity of TrentoItaly

About the authors

Prof. Mimmo Iannelli, Dipartimento di Matematica, Facoltà di Scienze, Università di Trento, Italy.

Prof. Andrea Pugliese, Dipartimento di Matematica, Facoltà di Scienze, Università di Trento, Italy.

Bibliographic information

Reviews

“The book introduces the reader into several ways of mathematical modelling, and also gives explanations on the relation between the different aspects. The structure of the book is very logical and it is easy to read and understand. … A rich collection of problems … can be found at the end of each chapter, which help to introduce students into the process of modelling through own experience. … it also provides up-to-date results in several of the topics included.” (Attila Dénes, Acta Scientiarum Mathematicarum, Vol. 81 (3-4), 2015)

“The book under review is based on an introductory course on the mathematical modeling of biological phenomena. This is a textbook for students of mathematical sciences to accompany an advanced undergraduate course in the modeling of population dynamics using ordinary differential, delay differential, stochastic and difference equations. … It is a good introduction for those beginners that are interested in the fast growing field of mathematical biology.” (Leonid Berezanski, zbMATH, Vol. 1305, 2015)