Integrodifference Equations in Spatial Ecology
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 s
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Frithjof Lutscher
Integrodifference Equations in Spatial Ecology
Interdisciplinary Applied Mathematics Volume 49 Editors Anthony Bloch, University of Michigan, Ann Arbor, MI, USA Charles L. Epstein, University of Pennsylvania, Philadelphia, PA, USA Alain Goriely, University of Oxford, Oxford, UK Leslie Greengard, New York University, New York, USA Advisors L. Glass, McGill University, Montreal, QC, Canada R. Kohn, New York University, New York, USA P. S. Krishnaprasad, University of Maryland, College Park, MD, USA Andrew Fowler, University of Oxford, Oxford, UK C. Peskin, New York University, New York, USA S. S. Sastry, University of California, Berkeley, CA, USA J. Sneyd, University of Auckland, Auckland, New Zealand Rick Durrett, Duke University, Durham, NC, USA
More information about this series at http://www.springer.com/series/1390
Frithjof Lutscher
Integrodifference Equations in Spatial Ecology
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Frithjof Lutscher Mathematics and Statistics University of Ottawa Ottawa, ON, Canada
ISSN 0939-6047 ISSN 2196-9973 (electronic) Interdisciplinary Applied Mathematics ISBN 978-3-030-29293-5 ISBN 978-3-030-29294-2 (eBook) https://doi.org/10.1007/978-3-030-29294-2 Mathematics Subject Classification: 92D40, 92D25, 39A60, 37L15, 37N25, 35K57 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To my teachers.
Foreword
Integrodifference equations are relative newcomers to the world of mathematical ecology. First emerging in the 1970s and 1980s, these discrete-time, continuousspace models with generalized growth and dispersal components have increased in popularity, and the number of variations has grown over time. Much of this increase in popularity
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