A model for the spatial spread of an epidemic

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97 Scopus citations

Abstract

We set up a deterministic model for the spatial spread of an epidemic. Essentially, the model consists of a nonlinear integral equation which has an unique solution. We show that this solution has a temporally asymptotic limit which describes the final state of the epidemic and is the minimal solution of another nonlinear integral equation. We outline the asymptotic behaviour of this minimal solution at a great distance from the epidemic's origin and generalize D. G. Kendall's pandemic threshold theorem (1957).

Original languageEnglish (US)
Pages (from-to)337-351
Number of pages15
JournalJournal Of Mathematical Biology
Volume4
Issue number4
DOIs
StatePublished - Dec 1977
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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