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Epidemic Models
Their Structure and Relation to Data

$220.00

Part of Publications of the Newton Institute

Klaus Dietz, Denis Mollison, Frank Ball, Claude Lefévre, Philippe Picard, Ingemar Nasell, Mart de Jong, Odo Diekmann, Hans Heesterbeek, Hans Metz, Andrew Cliff, Frank van den Bosch, Richard Durrett, Henry Daniels, Lynne Billard, P. W. A. Dayananda, Zhen Zhao, Stephen Ellner, Ronald Gallant, James Theiler, Bryan Grenfell, Ben Bolker, Adam Kleczkowski, Simon Levin, John Jacquez, Carl Simon, James Koopman;, Martina Morris, Sunetra Gupta, Katherine Trenholme, Martin Cox, Roy Anderson, Karen Day, Niels Becker, Andrew Cairns, Hans Remme, Soumbey Alley, Anton Plaisier, Ira Longini, Elizabeth Halloran, Michael Haber, Norman Bailey
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  • Date Published: July 1995
  • availability: In stock
  • format: Hardback
  • isbn: 9780521475365

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About the Authors
  • The problems of understanding and controlling disease present a range of mathematical challenges, from broad theoretical issues to specific practical ones, making epidemiology one of the most vibrant branches of applied biology. Progress in this field requires collaboration among leading researchers with a wide range of mathematical expertise and close involvement in applied fields across the social, medical and biological sciences. This volume surveys the current state of epidemic modeling in relation to basic aims such as understanding, prediction, and evaluation and implementation of control strategies. The book is divided into five parts, covering the conceptual framework, three major problem areas (space, nonlinearity, heterogeneity), and the direct relation of models to data. The contributors discuss a wide range of methodological issues, e.g. comparing different approaches to the modeling of heterogeneity and relations among different types of model; and different data analytic approaches, together with the availability and quality of the data they require.

    • Leading researchers survey the current state of epidemic modelling
    • Covers a wide range of relevent approaches, mathematical and statistical, theoretical and applied
    • Up-to-date coverage of AIDS and other infectious disease modelling
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    Reviews & endorsements

    "The book is a nice reference work for students and researchers interested in epidemic models." JASA

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    Product details

    • Date Published: July 1995
    • format: Hardback
    • isbn: 9780521475365
    • length: 444 pages
    • dimensions: 229 x 152 x 29 mm
    • weight: 0.82kg
    • contains: 58 b/w illus.
    • availability: In stock
  • Table of Contents

    Preface
    Introduction
    Part I. Conceptual Framework:
    1. Some problems in the theory of infectious disease transmission and control Klaus Dietz
    2. The structure of epidemic models Denis Mollison
    3. Coupling methods in epidemic theory Frank Ball
    4. Collective epidemic processes: a general modelling approach to the final outcome of SIR epidemics Claude Lefévre and Philippe Picard
    5. The threshold concept in deterministic and stochastic models Ingemar Nasell
    6. How does transmission of infection depend on population size? Mart de Jong, Odo Diekmann and Hans Heesterbeek
    7. The legacy of Kermack and McKendrick Odo Diekmann, Hans Metz and Hans Heesterbeek
    Part II. Spatial Models:
    8. Incorporating spatial components into models of epidemic spread Andrew Cliff
    9. Velocities of epidemic spread Hans Metz and Frank van den Bosch
    10. Spatial epidemic models Richard Durrett
    11. A perturbation approach to nonlinear deterministic epidemic waves Henry Daniels
    12. Epidemic plant diseases: a stochastic model of leaf and stem lesion Lynne Billard, P. W. A. Dayananda and Zhen Zhao
    Part III. Nonlinear Time and Space-Time Dynamics:
    13. Detecting nonlinearity and chaos in epidemic data Stephen Ellner, Ronald Gallant and James Theiler
    14. Seasonality, demography and the dynamics of measles in developed countries Bryan Grenfell, Ben Bolker and Adam Kleczkowski
    Part IV. Heterogeneity in Human Diseases:
    15. Grouping in population models Simon Levin
    16. Core groups and R0s for subgroups in heterogeneous SIS and SI models John Jacquez, Carl Simon and James Koopman
    17. Data driven network models for the spread of disease Martina Morris
    18. The effect of antigenic diversity on endemic prevalence Sunetra Gupta, Katherine Trenholme, Martin Cox, Roy Anderson and Karen Day
    Part V. Data Analysis: Estimation and Prediction:
    19. Statistical challenges of epidemic data Niels Becker
    20. Primary components of epidemic models Andrew Cairns
    21. Estimation and prediction in tropical disease control: the example of onchocerciasis Hans Remme, Soumbey Alley and Anton Plaisier
    22. Some current trends in estimating vaccine efficacy Ira Longini, Elizabeth Halloran and Michael Haber
    23. Operational modelling of HIV/AIDS to assist public health control Norman Bailey
    Appendix. Problem areas S. Ellner, O. Diekmann and N. Becker.

  • Editor

    Denis Mollison, Heriot-Watt University, Edinburgh

    Contributors

    Klaus Dietz, Denis Mollison, Frank Ball, Claude Lefévre, Philippe Picard, Ingemar Nasell, Mart de Jong, Odo Diekmann, Hans Heesterbeek, Hans Metz, Andrew Cliff, Frank van den Bosch, Richard Durrett, Henry Daniels, Lynne Billard, P. W. A. Dayananda, Zhen Zhao, Stephen Ellner, Ronald Gallant, James Theiler, Bryan Grenfell, Ben Bolker, Adam Kleczkowski, Simon Levin, John Jacquez, Carl Simon, James Koopman;, Martina Morris, Sunetra Gupta, Katherine Trenholme, Martin Cox, Roy Anderson, Karen Day, Niels Becker, Andrew Cairns, Hans Remme, Soumbey Alley, Anton Plaisier, Ira Longini, Elizabeth Halloran, Michael Haber, Norman Bailey

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