Some properties of an extended simple stochastic epidemic model involving two additional parameters

Richard J. Kryscio, Norman C. Severo

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In a fixed population of size N, we assume that the probability for a new infective in the time interval (t, t + dt) is βr1-b(N - r)a dt, where r is the number of susceptibles at time t, N - r is the number of infectives at time t, β is the infection rate, a is the infection power, and b is the safety-in-numbers power. If a = 1 and b = 0, then this probability would determine the familiar simple stochastic epidemic model. This article investigates the effect of the parameters a and b on the state probabilities and other derived quantities of the model.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalMathematical Biosciences
Volume5
Issue number1-2
DOIs
StatePublished - Aug 1969

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics

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