The Construction and Asymptotic Behaviour of Some m-Dimensional Simple Epidemic Models.

Abstract

A population of susceptible individuals exposed to m contagious diseases is considered. The progress of this epidemic among the individuals is modeled by an m-dimensional stochastic process. The components of this process represent the number of infective individuals with the respective diseases at time t. A class of m-dimensional stochastic processes is constructed. These processes describe the progress of the epidemic models considered in the sequel. Exact and approximate formulas for the joint and marginal state probabilities of these models are obtained. It is shown that the approximate formulas are relatively simple functions of time while, the derivations of the exact formulas involve tedious computations. The results obtained in the paper are applied to a sample of examples. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1980
Accession Number
ADA084793

Entities

People

  • Naftali A. Langberg

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Computations
  • Convergence
  • Differential Equations
  • Diseases And Disorders
  • Distribution Functions
  • Equations
  • Infection
  • Mathematical Analysis
  • Probability
  • Random Variables
  • Real Numbers
  • Statistical Analysis
  • Statistics
  • Stochastic Processes
  • Theorems
  • Wound Infections

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Infectious Disease/Epidemiology
  • Statistical inference.