Stochastic Processes in Epidemic Theory: Proceedings of a Conference held in Luminy, France, October 23–29, 1988

✍ Scribed by Jean-Pierre Gabriel, Claude Lefèvre, Philippe Picard (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1990
• Tongue: English
• Leaves: 208
• Series: Lecture Notes in Biomathematics 86
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages N2-VII
Stochastic epidemic models for S-I-R infectious diseases: a brief survey of the recent general theory....Pages 1-12
Front Matter....Pages 13-13
Application of stochastic epidemic modelling in the public health control of HIV / AIDS....Pages 14-20
The Incubation Period for the AIDS virus....Pages 21-35
Nonparametric estimation of disease incidence from a cross-sectional sample of a stationary population....Pages 36-45
On Modeling the Incidence of AIDS....Pages 46-58
Malaria Infection with Relapses and Misdiagnosis....Pages 59-69
Front Matter....Pages 70-70
A new look at Downton’s carrier-borne epidemic model....Pages 71-85
Epidemics and random graphs....Pages 86-89
The effect of heterogeneity on the spread of disease....Pages 90-103
Modelling AIDS-Epidemics or any venereal disease on random graphs....Pages 104-117
A counting process approach for age-dependent epidemic systems....Pages 118-128
The time of occurence of the maximum of a closed epidemic....Pages 129-136
Worm’s sexuality and special function theory....Pages 137-144
Approaches to the Modelling of Aids....Pages 145-154
The final size distribution of epidemics spread by infectives behaving independently....Pages 155-169
Some epidemic systems are long range interacting particle systems....Pages 170-183
Threshold limit theorems in the theory of rumors, snowball sampling and epidemics....Pages 184-188
On the asymptotic final size distribution of epidemics in heterogeneous populations....Pages 189-196
Back Matter....Pages 197-201

✦ Subjects

Probability Theory and Stochastic Processes; Mathematical and Computational Biology