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Mathematical Biosciences Subseries

Hyperbolic and Kinetic Models for Self-organised Biological Aggregations

A Modelling and Pattern Formation Approach

Authors: Eftimie, Raluca

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  • Discusses various hyperbolic and kinetic mathematical models for stationary and moving biological/ecological aggregations formed in response to local and nonlocal social interactions
  • Demonstrates how stability and bifurcation theory combined with numerical simulations can be used to investigate and classify the spatio-temporal patterns displayed by these mathematical models
  • Includes real-world examples 
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About this book

This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. Here we combine an overview of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria that interact locally and non-locally, with analytical and numerical mathematical techniques that can be used to investigate the spatio-temporal patterns produced by said individuals/cells/bacteria. Richly illustrated, the book offers a valuable guide for researchers new to the field, and is also suitable as a textbook for senior undergraduate or graduate students in mathematics or related disciplines.


About the authors

Dr. Eftimie completed her PhD in Applied Mathematics at the University of Alberta, Canada. For her PhD work on the modelling and classification of aggregation patterns in self-organised biological aggregations (which could result from various inter-individual communication mechanisms), she was honoured with the 2008 CAIMS Cecil Graham Doctoral Dissertation Award (Canada). Dr. Eftimie is currently a Reader (Associate Professor) of Applied Mathematics at the University of Dundee, United Kingdom. 

Reviews

“The monograph can primarily be used as a research companion, as it provides a vivid perspective of the state-of-art in its field. … The monograph, which is largely self-contained, can also be used as a basis for a graduate course or a research seminar on self-organized biological aggregation, the dual analytical and numerical perspective allowing for some tailoring to different purposes.” (Paul Georgescu, zbMATH 1415.92002, 2019)

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-030-02586-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-030-02585-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hyperbolic and Kinetic Models for Self-organised Biological Aggregations
Book Subtitle
A Modelling and Pattern Formation Approach
Authors
Series Title
Mathematical Biosciences Subseries
Series Volume
2232
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-02586-1
DOI
10.1007/978-3-030-02586-1
Softcover ISBN
978-3-030-02585-4
Series ISSN
2524-6771
Edition Number
1
Number of Pages
XIII, 280
Number of Illustrations
14 b/w illustrations, 59 illustrations in colour
Topics

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