Stochastic Processes in Epidemic Theory

1. Front Matter

   Pages N2-VII

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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

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.

• Alice
• Counting
• Statistica
• control
• counting process
• development
• field
• graphs
• model
• modeling
• modelling
• selection
• stochastic process
• stochastic processes
• virus

• 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

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