Accession Number:

ADA008169

Title:

A Stochastic Process under the Influence of Another Arising in the Theory of Epidemics.

Descriptive Note:

Technical rept.,

Corporate Author:

PURDUE UNIV LAFAYETTE IND

Personal Author(s):

• Puri,Prem S.

Report Date:

1974-10-01

Pagination or Media Count:

19.0

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.

Descriptors:

• *STOCHASTIC PROCESSES
• *EPIDEMIOLOGY
• MATHEMATICAL MODELS
• RANDOM VARIABLES
• PROBABILITY
• MARKOV PROCESSES
• THEOREMS

Subject Categories:

• Medicine and Medical Research
• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE