Limit theorems for the spread of epidemics and forest fires

J. T. Cox, Richard Durrett

Research output: Contribution to journalArticle

70 Scopus citations

Abstract

We prove that the "spatial epidemic with removal" grows linearly and has an asymptotic shape on the set of nonextinction.

Original languageEnglish (US)
Pages (from-to)171-191
Number of pages21
JournalStochastic Processes and their Applications
Volume30
Issue number2
DOIs
StatePublished - Dec 1988

Keywords

  • epidemics
  • forest fires
  • percolation
  • shape theorem

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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