Limit theorems for the spread of epidemics and forest fires

J. T. Cox; Richard Durrett

doi:10.1016/0304-4149(88)90083-X

Limit theorems for the spread of epidemics and forest fires

J. T. Cox, Richard Durrett

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

80 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	171-191
Number of pages	21
Journal	Stochastic Processes and their Applications
Volume	30
Issue number	2
DOIs	https://doi.org/10.1016/0304-4149(88)90083-X
State	Published - 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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10.1016/0304-4149(88)90083-X

Cite this

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title = "Limit theorems for the spread of epidemics and forest fires",

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

keywords = "epidemics, forest fires, percolation, shape theorem",

author = "Cox, {J. T.} and Richard Durrett",

note = "Funding Information: * Research supported in part by the WSF through a grant to Syracuse University. ** Research supported in part by the NSF through a grant to Cornell University. Partly supported by the U.S. ,{\textquoteleft}.rmy Research Ottice through the Mathematical Sciences Institute of Corneii University.",

year = "1988",

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AU - Cox, J. T.

AU - Durrett, Richard

N1 - Funding Information: * Research supported in part by the WSF through a grant to Syracuse University. ** Research supported in part by the NSF through a grant to Cornell University. Partly supported by the U.S. ,‘.rmy Research Ottice through the Mathematical Sciences Institute of Corneii University.

PY - 1988/12

Y1 - 1988/12

N2 - We prove that the "spatial epidemic with removal" grows linearly and has an asymptotic shape on the set of nonextinction.

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

KW - epidemics

KW - forest fires

KW - percolation

KW - shape theorem

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U2 - 10.1016/0304-4149(88)90083-X

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VL - 30

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JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 2

ER -

Limit theorems for the spread of epidemics and forest fires

Abstract

Keywords

ASJC Scopus subject areas

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