Multitype randomized Reed-Frost epidemics and epidemics upon random graphs

Peter Neal

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We consider a multitype epidemic model which is a natural extension of the randomized Reed-Frost epidemic model. The main result is the derivation of an asymptotic Gaussian limit theorem for the final size of the epidemic. The method of proof is simpler, and more direct, than is used for similar results elsewhere in the epidemics literature. In particular, the results are specialized to epidemics upon extensions of the Bernoulli random graph. © Institute of Mathematical Statistics, 2006.
    Original languageEnglish
    Pages (from-to)1166-1189
    Number of pages23
    JournalAnnals of Applied Probability
    Volume16
    Issue number3
    DOIs
    Publication statusPublished - Aug 2006

    Keywords

    • Central limit theorems
    • Multitype epidemic models
    • Random graphs

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