Limit theorems for the total size of a spatial epidemic

Håkan Andersson, Boualem Djehiche

Research output: Contribution to journalArticlepeer-review


We study the long-term behaviour of a sequence of multitype general stochastic epidemics, converging in probability to a deterministic spatial epidemic model, proposed by D. G. Kendall. More precisely, we use branching and deterministic approximations in order to study the asymptotic behaviour of the total size of the epidemics as the number of types and the number of individuals of each type both grow to infinity.

Original languageEnglish (US)
Pages (from-to)698-710
Number of pages13
JournalJournal of Applied Probability
Issue number3
StatePublished - Sep 1997


  • Coupling
  • Epidemic process
  • Hilbert space
  • Martingale
  • Total size

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Statistics, Probability and Uncertainty


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