The Dynamics of Biological Systems

The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant c

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Arianna Bianchi Thomas Hillen Mark A. Lewis Yingfei Yi Editors

The Dynamics of Biological Systems

Mathematics of Planet Earth Volume 4

Series editors Ken Golden, The University of Utah, USA Mark Lewis, University of Alberta, Canada Yasumasa Nishiura, Tohoku University, Japan Joseph Tribbia, National Center for Atmospheric Research, USA Jorge Passamani Zubelli, Instituto de Matemática Pura e Aplicada, Brazil

Springer’s Mathematics of Planet Earth series provides a variety of well-written books of a variety of levels and styles, highlighting the fundamental role played by mathematics in a huge range of planetary contexts on a global scale. Climate, ecology, sustainability, public health, diseases and epidemics, management of resources and risk analysis are important elements. The mathematical sciences play a key role in these and many other processes relevant to Planet Earth, both as a fundamental discipline and as a key component of cross-disciplinary research. This creates the need, both in education and research, for books that are introductory to and abreast of these developments.

More information about this series at http://www.springer.com/series/13771

Arianna Bianchi • Thomas Hillen Mark A. Lewis • Yingfei Yi Editors

The Dynamics of Biological Systems

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Editors Arianna Bianchi Department of Mathematical and Statistical Sciences University of Alberta Edmonton, AB, Canada

Thomas Hillen Department of Mathematical and Statistical Sciences University of Alberta Edmonton, AB, Canada

Mark A. Lewis Department of Mathematical and Statistical Sciences University of Alberta Edmonton, AB, Canada

Yingfei Yi Department of Mathematical and Statistical Sciences University of Alberta Edmonton, AB, Canada

ISSN 2524-4264 ISSN 2524-4272 (electronic) Mathematics of Planet Earth ISBN 978-3-030-22582-7 ISBN 978-3-030-22583-4 (eBook) https://doi.org/10.1007/978-3-030-22583-4 Mathematics Subject Classification (2010): 35Q92, 37N25, 92B05, 92C15, 92C17, 92C37, 92C40, 92C42, 92D25, 92D30, 92E10 © 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 implie