La Matematica per il 3+2

An Introduction to Mathematical Population Dynamics

Along the trail of Volterra and Lotka

Authors: Iannelli, Mimmo, Pugliese, Andrea

  • 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
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eBook $59.99
price for USA (gross)
  • ISBN 978-3-319-03026-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Softcover $79.99
price for USA
  • ISBN 978-3-319-03025-8
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
About this Textbook

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.

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.

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)


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Table of contents (13 chapters)

  • Malthus, Verhulst and all that

    Iannelli, Mimmo (et al.)

    Pages 3-37

  • Population models with delays

    Iannelli, Mimmo (et al.)

    Pages 39-63

  • Models of discrete-time population growth

    Iannelli, Mimmo (et al.)

    Pages 65-90

  • Stochastic modeling of population growth

    Iannelli, Mimmo (et al.)

    Pages 91-111

  • Spatial spread of a population

    Iannelli, Mimmo (et al.)

    Pages 113-142

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-319-03026-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA
  • ISBN 978-3-319-03025-8
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Mathematical Population Dynamics
Book Subtitle
Along the trail of Volterra and Lotka
Authors
Series Title
La Matematica per il 3+2
Series Volume
79
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
Distribution Rights
Distribution rights In India: Ane Books India, New Delhi, India
eBook ISBN
978-3-319-03026-5
DOI
10.1007/978-3-319-03026-5
Softcover ISBN
978-3-319-03025-8
Series ISSN
2038-5722
Edition Number
1
Number of Pages
XIV, 346
Topics