Stochastic Processes in Epidemic Theory: Proceedings of a Conference held in Luminy, France, October 23–29, 1988 (Lecture Notes in Biomathematics, 86)

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. 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 This collection of papers gives a representative cross-selectional view of recent developments in the field. Lefevre, 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. J.-p. Gabriel, C. Lefèvre, P. Picard (eds.). Includes Bibliographical References.