Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: UNITEXT (UNITEXT, volume 79)
Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)
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Table of contents (13 chapters)
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Front Matter
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The growth of a single population
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Front Matter
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Back Matter
Keywords
About this book
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.
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)
Authors and Affiliations
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
Book Title: An Introduction to Mathematical Population Dynamics
Book Subtitle: Along the trail of Volterra and Lotka
Authors: Mimmo Iannelli, Andrea Pugliese
Series Title: UNITEXT
DOI: https://doi.org/10.1007/978-3-319-03026-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-03025-8Published: 23 July 2014
eBook ISBN: 978-3-319-03026-5Published: 23 January 2015
Series ISSN: 2038-5714
Series E-ISSN: 2532-3318
Edition Number: 1
Number of Pages: XIV, 346
Topics: Mathematical and Computational Biology, Theoretical Ecology/Statistics, Applications of Mathematics