The Multivariate Normal Behaviour of a Symmetric m-Dimensional Simple Epidemic.
Abstract
We consider a group of n susceptible individuals who are exposed to m contagious diseases. The progress of the epidemic among the individuals is modeled by a stochastic process X sub n (t) identical with (X sub n,1 (t), ..., X sub n,m (t)), t in (0, infinity). The components of X sub n (t) describe the number of infective individuals with the respective disease at time t. For a class of epidemic models named symmetric m-dimensional simple epidemics we establish, with a suitable standardization, the asymptotic normal convergence of X sub n (t) as n approaches infinity for t in (0, infinity).
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1979
- Accession Number
- ADA078780
Entities
People
- Naftali A. Langberg
Organizations
- Florida State University