The Convergence of the State Probabilities in a Class of m-Dimensional Simple Epidemic Models.

Abstract

A population of susceptible individuals exposed to m contagious diseases is considered. The progress of this epidemic among individuals is modeled by an m-dimesional stochastic progress. The components of this progress 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 very simple functions of time while, the derivation of the exact formulas involve tedious computations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1980
Accession Number
ADA091041

Entities

People

  • Herbert Lacayo
  • Naftali A. Langberg

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Binomials
  • Convergence
  • Differential Equations
  • Diseases And Disorders
  • Distribution Functions
  • Epidemics
  • Equations
  • Infection
  • Notation
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • Scientific Research
  • Stochastic Processes
  • Wound Infections

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Infectious Disease/Epidemiology
  • Mathematical Modeling and Probability Theory.