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Limit theorems for the spread of epidemics and forest fires

Author

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  • Cox, J. T.
  • Durrett, Richard

Abstract

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

Suggested Citation

  • Cox, J. T. & Durrett, Richard, 1988. "Limit theorems for the spread of epidemics and forest fires," Stochastic Processes and their Applications, Elsevier, vol. 30(2), pages 171-191, December.
    • Handle: RePEc:eee:spapps:v:30:y:1988:i:2:p:171-191
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    Cited by:

    1. Xiaofeng Xue, 2018. "Asymptotic of the Critical Value of the Large-Dimensional SIR Epidemic on Clusters," Journal of Theoretical Probability, Springer, vol. 31(4), pages 2343-2365, December.
    2. Martina Morris, 1993. "Epidemiology and Social Networks:," Sociological Methods & Research, , vol. 22(1), pages 99-126, August.

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