Functional Difference Equations and an Epidemic Model.

Abstract

We consider an epidemic model for the form S implies I which implies S iwth history on (-infinity, 0>. The well-known threshold phenomenon is discussed in terms of the stability of a functional difference equation, also known as the translation-invariant renewal equation. Since the difference equation has infinite delay, the work of other authors on finite-delay problems is extended. Also, epidemic models with spatial effects are discussed by extension of the results to difference equations in a Banach space. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 09, 1980
Accession Number
ADA088108

Entities

People

  • Lawrence Turyn

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Facilities
  • Applied Mathematics
  • Banach Space
  • Difference Equations
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Numbers
  • Real Numbers
  • Rhode Island
  • Spectra
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space