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Stochastic Processes in Epidemic Theory

Proceedings of a Conference held in Luminy, France, October 23–29, 1988

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. Jean-Pierre Gabriel

    1. Institut de Mathématiques, Université de Fribourg, Fribourg, Schweiz

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  2. Claude Lefèvre

    1. Institut de Statistique C.P. 210, Université Libre de Bruxelles, Bruxelles, Belgien

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  3. Philippe Picard

    1. Lab. de Calcul des Probabilités et Statistique, Université de Lyon I, Villeurbanne Cedex, Frankreich

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Part of the book series: Lecture Notes in Biomathematics (LNBM, volume 86)

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Table of contents (18 papers)

  1. Front Matter

    Pages N2-VII
    Download chapter PDF

  2. Stochastic epidemic models for S-I-R infectious diseases: a brief survey of the recent general theory

    1. Stochastic epidemic models for S-I-R infectious diseases: a brief survey of the recent general theory

      • Claude Lefèvre
      Pages 1-12

  3. Statistical Aspects of Epidemic Models

    1. Front Matter

      Pages 13-13
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    2. Application of stochastic epidemic modelling in the public health control of HIV / AIDS

      • Norman T. J. Bailey
      Pages 14-20

    3. The Incubation Period for the AIDS virus

      • L Billard, G. F. Medley, R. M. Anderson
      Pages 21-35

    4. Nonparametric estimation of disease incidence from a cross-sectional sample of a stationary population

      • Niels Keiding, Bettina E. Hansen, Claus Holst
      Pages 36-45

    5. On Modeling the Incidence of AIDS

      • Richard J. Kryscio, Marie-Pierre Malice
      Pages 46-58

    6. Malaria Infection with Relapses and Misdiagnosis

      • Ingemar Nåsell
      Pages 59-69

  4. Mathematical Epidemiology

    1. Front Matter

      Pages 70-70
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    2. A new look at Downton’s carrier-borne epidemic model

      • Frank Ball
      Pages 71-85

    3. Epidemics and random graphs

      • Andrew Barbour, Denis Mollison
      Pages 86-89

    4. The effect of heterogeneity on the spread of disease

      • Niels Becker, Ian Marschner
      Pages 90-103

    5. Modelling AIDS-Epidemics or any venereal disease on random graphs

      • Ph Blanchard, G. F. Bolz, T. Krüger
      Pages 104-117

    6. A counting process approach for age-dependent epidemic systems

      • V. Capasso
      Pages 118-128

    7. The time of occurence of the maximum of a closed epidemic

      • Henry E. Daniels
      Pages 129-136

    8. Worm’s sexuality and special function theory

      • J. P. Gabriel, Herman Hanisch, Warren M. Hirsch
      Pages 137-144

    9. Approaches to the Modelling of Aids

      • J. Gani
      Pages 145-154

    10. The final size distribution of epidemics spread by infectives behaving independently

      • Claude Lefèvre, Philippe Picard
      Pages 155-169

    11. Some epidemic systems are long range interacting particle systems

      • Christian Léonard
      Pages 170-183

    12. Threshold limit theorems in the theory of rumors, snowball sampling and epidemics

      • Anders Martin-Löf
      Pages 184-188
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Keywords

About this book

This collection of papers gives a representative cross-selectional view of recent developments in the field. After a survey paper by C. Lefèvre, 17 other research papers look at stochastic modeling of epidemics, both from a theoretical and a statistical point of view. Some look more specifically at a particular disease such as AIDS, malaria, schistosomiasis and diabetes.

Editors and Affiliations

  • Institut de Mathématiques, Université de Fribourg, Fribourg, Schweiz

    Jean-Pierre Gabriel

  • Institut de Statistique C.P. 210, Université Libre de Bruxelles, Bruxelles, Belgien

    Claude Lefèvre

  • Lab. de Calcul des Probabilités et Statistique, Université de Lyon I, Villeurbanne Cedex, Frankreich

    Philippe Picard

Bibliographic Information

  • Book Title: Stochastic Processes in Epidemic Theory

  • Book Subtitle: Proceedings of a Conference held in Luminy, France, October 23–29, 1988

  • Editors: Jean-Pierre Gabriel, Claude Lefèvre, Philippe Picard

  • Series Title: Lecture Notes in Biomathematics

  • DOI: https://doi.org/10.1007/978-3-662-10067-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-52571-4Published: 12 June 1990

  • eBook ISBN: 978-3-662-10067-7Published: 11 March 2014

  • Series ISSN: 0341-633X

  • Series E-ISSN: 2196-9981

  • Edition Number: 1

  • Number of Pages: VIII, 197

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Probability Theory and Stochastic Processes, Mathematical and Computational Biology

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