Stochastic Processes in Epidemic Theory
Lecture notes in biomathematicsPublished 1 January 1990
Jean-Pierre Gabriel, Claude Lefèvre, Philippe Picard
Citations103
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Abstract
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.
Keywords
Mathematics
Journal of the American Statistical AssociationAnalysis of Infectious Disease Data.
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Lecture notes in biomathematicsStochastic Processes in Epidemic Theory
103 Citations1990Jean-Pierre Gabriel, Claude Lefèvre +1 more
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The present paper has to be considered more as a research announcement than as a collection of final results about the theory of age-dependent epidemic systems.
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The models reviewed account for external infection, latency and differential mortality among the snails, different modes of mating, concomitant immunity in the host populations, and aggregation as caused e.g. by nonhomogeneous exposure of human beings to infection.
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This paper considers the classical closed epidemic with x susceptibles and y infectives at time t, and examines the statistical behaviour of the maximum number of infectives in a particular epidemic and the time at which it is attained.
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