Authors:
- Includes real applications to ecological questions throughout
- Provides an overview of the fundamental questions of spacial ecology
- Considered the first comprehensive exposition and review of the mathematical and ecological literature on integrodifference equations
- Includes supplementary material: sn.pub/extras
Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 49)
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Table of contents (17 chapters)
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Front Matter
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Approximations and Applications
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Front Matter
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Extensions and Challenges
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Front Matter
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About this book
This book is the first thorough introduction to and comprehensive treatment of the theory and applications of integrodifference equations in spatial ecology. Integrodifference equations are discrete-time continuous-space dynamical systems describing the spatio-temporal dynamics of one or more populations. The book contains step-by-step model construction, explicitly solvable models, abstract theory and numerical recipes for integrodifference equations. The theory in the book is motivated and illustrated by many examples from conservation biology, biological invasions, pattern formation and other areas. In this way, the book conveys the more general message that bringing mathematical approaches and ecological questions together can generate novel insights into applications and fruitful challenges that spur future theoretical developments. The book is suitable for graduate students and experienced researchers in mathematical ecology alike.
Reviews
“This well-written monograph is not only a successful introduction into the field of integrodifference equations as models in spatial ecology, it also surveys the present state of the art in this field. Its contents are interesting for both theoretical ecologists and applied mathematicians, from PhD students to established researchers.” (Christian Pötzsche, zbMATH 1445.45001, 2020)
“I would highly recommend this book both as an interesting setting for studying dynamical systems in their own right, and as a less-well-known, but plausibly very powerful, way to model population dynamics.” (MAA Reviews, March 7, 2020)
Authors and Affiliations
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Mathematics and Statistics, University of Ottawa, Ottawa, Canada
Frithjof Lutscher
About the author
Bibliographic Information
Book Title: Integrodifference Equations in Spatial Ecology
Authors: Frithjof Lutscher
Series Title: Interdisciplinary Applied Mathematics
DOI: https://doi.org/10.1007/978-3-030-29294-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-29293-5Published: 11 November 2019
Softcover ISBN: 978-3-030-29296-6Published: 11 November 2020
eBook ISBN: 978-3-030-29294-2Published: 30 October 2019
Series ISSN: 0939-6047
Series E-ISSN: 2196-9973
Edition Number: 1
Number of Pages: XVI, 385
Number of Illustrations: 114 b/w illustrations, 4 illustrations in colour
Topics: Mathematical Applications in the Physical Sciences, Mathematics of Planet Earth, Community & Population Ecology, Mathematical Modeling and Industrial Mathematics