A note on the expected number of survivors in supercritical carrier-borne epidemics
1979 ◽
Vol 16
(03)
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pp. 646-650
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Keyword(s):
We provide a formal proof of a conclusion due to Abakuks (1974) which states that the expected number of survivors in Downton's carrier-borne epidemic model approaches the limit (ρ /π)δ as the initial number of susceptibles tends to infinity. Here ρ denotes the relative removal rate for carriers, π denotes the conditional probability that an infected susceptible will become a carrier, δ denotes the Kronecker delta function and denotes the initial number of carriers.
Keyword(s):
2004 ◽
Vol 67
(4)
◽
pp. 321-330
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2007 ◽
Vol 45
(7-8)
◽
pp. 834-843
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2011 ◽
Vol 101-102
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pp. 271-274