Spatiotemporal Patterns of Disease Spread: Interaction of Physiological Structure, Spatial Movements, Disease Progressio
In this article we review some recent literature on the mathematical modelling of vector-borne diseases with special reference to West Nile virus and with particular focus on the role of the developmental stages of hosts in determining the transmission dy
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1936
Pierre Magal · Shigui Ruan (Eds.)
Structured Population Models in Biology and Epidemiology With Contributions by: P. Auger · M. Ballyk · R. Bravo de la Parra W.-E. Fitzgibbon · S.A. Gourley · D. Jones · M. Langlais R. Liu · M. Martcheva · T. Nguyen-Huu · J.-C. Poggiale E. Sánchez · H.L. Smith · H.R. Thieme · G.F. Webb · J. Wu
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Editors Pierre Magal
Shigui Ruan
University of Le Havre 25 rue philippe Lebon 76058 Le Havre France [email protected]
Department of Mathematics University of Miami Coral Gables, FL 33124-4250 USA [email protected]
ISBN: 978-3-540-78272-8 e-ISBN: 978-3-540-78273-5 DOI: 10.1007/978-3-540-78273-5 Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2008921368 Mathematics Subject Classification (2000): 34A35, 34G20, 35B40, 35K57, 92D25, 92D30 c 2008 Springer-Verlag Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: WMXDesign GmbH, Heidelberg Printed on acid-free paper 987654321 springer.com
Preface
In this new century mankind faces ever more challenging environmental and public health problems, such as pollution, invasion by exotic species, the emergence of new diseases or the emergence of diseases into new regions (West Nile virus, SARS, Anthrax, etc.), and the resurgence of existing diseases (influenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to find solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investigation of antibiotic-resistant infections in hospitals. Structured population models distinguish individuals from one another according to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics affect the dynamics of these models and
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