A Stochastic Process under the Influence of Another Arising in the Theory of Epidemics.
Abstract
After a brief survey of some of the recent work on carrier-borne epidemics, a generalization of a carrier-borne epidemic model due to Dietz and Downton (see (4)) is considered, where the realistic possibility of an infective becoming a susceptible is allowed. The special case where the epidemic is initiated by a single carrier with no further immigration of carriers, while still allowing the immigration of susceptibles, is considered in some detail. Among others the author is concerned with the distribution problem related to the total number of visits of susceptibles to 'infective' state, total man-units of time spent in the 'infective' state during the time interval (0,t), etc. The methods used for studying these distribution problems are similar to those used by the author elsewhere.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1974
- Accession Number
- ADA008169
Entities
People
- Prem S. Puri
Organizations
- Purdue University