Age Structured Epidemic Modeling

This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides t

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Xue-Zhi Li Junyuan Yang Maia Martcheva

Age Structured Epidemic Modeling

Interdisciplinary Applied Mathematics Volume 52 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, NY, 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, NY, 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

Xue-Zhi Li • Junyuan Yang • Maia Martcheva

Age Structured Epidemic Modeling

Xue-Zhi Li College of Mathematics and Information Sciences Henan Normal University Xinxiang, Xinxiang, China

Junyuan Yang Complex Systems Research Center Shanxi University Taiyuan, Shanxi, China

Maia Martcheva Dept of Math, Little Hall 358 University of Florida Gainesville, FL, USA

ISSN 0939-6047 ISSN 2196-9973 (electronic) Interdisciplinary Applied Mathematics ISBN 978-3-030-42495-4 ISBN 978-3-030-42496-1 (eBook) https://doi.org/10.1007/978-3-030-42496-1 Mathematics Subject Classification (2010): 34D05, 34D20, 34D23, 34D45, 34F10, 35A09, 35B09, 35B10, 35B30, 35D30, 35B32, 35B40, 35D35, 35E15, 37C10, 37C75, 37G15, 45A05, 45D05, 45E10, 45J05, 45P05, 46E15, 46E30, 47A10, 47A11, 47A75, 47B07, 47B33, 47B34, 47B38, 47H05, 47H09, 47H10, 49K40, 49G50, 62P10, 62P25, 65F50, 65L11, 65R10, 74G30, 74G35, 91A05, 91A22, 92B05, 92D25, 92D30, 93C20, 93D20, 93C15 © Springer Nature Switzerland AG 2020 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, expressed 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 affili