Multivariate birth-and-death processes as approximations to epidemic processes
Keyword(s):
This paper presents the theory of a multivariate birth-and-death process and its representation as a branching process. The bivariate linear birth-and-death process may be used as a model for various epidemic situations involving two types of infective. Various properties of the transient process are discussed and the distribution of epidemic size is investigated. For the case of a disease spread solely by carriers when the two types of infective are carriers and clinical infectives the large population version of a model proposed by Downton (1968) is further developed and shown under appropriate circumstances to closely approximate Downton's model.
1973 ◽
Vol 10
(01)
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pp. 15-26
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Keyword(s):
1981 ◽
Vol 18
(01)
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pp. 19-30
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1983 ◽
Vol 15
(03)
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pp. 507-530
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2009 ◽
Vol 24
(1)
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pp. 129-144
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