ON A PARTIAL DIFFERENTIAL EQUATION OF EPIDEMIC THEORY. 2. THE MODEL WITH IMMIGRATION

Abstract

A generalization of the basic model which arises in the stochastic theory of epidemics is that for which at time there are in circulation r uninfected susceptibles and s infectives, m + n + a - r - s removals of infectives having occurred since time t = 0. Here the integer m represents the number of susceptible immigrants who have entered the population since time t = 0, when the initial population consisted of n susceptibles and a infectives only. It will be found useful to keep track of the number of immigrants m in the population as well.

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Document Details

Document Type
Technical Report
Publication Date
Jan 05, 1965
Accession Number
AD0609960

Entities

People

  • J. Gani

Organizations

  • Michigan State University

Tags

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Epidemics
  • Equations
  • Immigrants
  • Immigration
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Probability
  • Universities

Fields of Study

  • Biology
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Canadian European Scientific Immigration and Epilepsy Clearance Studies
  • Infectious Disease/Epidemiology