A Central Limit Theorem for a Discrete-Time SIS Model with Individual Variation
2012 ◽
Vol 49
(2)
◽
pp. 521-530
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Keyword(s):
A discrete-time SIS model is presented that allows individuals in the population to vary in terms of their susceptibility to infection and their rate of recovery. This model is a generalisation of the metapopulation model presented in McVinish and Pollett (2010). The main result of the paper is a central limit theorem showing that fluctuations in the proportion of infected individuals around the limiting proportion converges to a Gaussian random variable when appropriately rescaled. In contrast to the case where there is no variation amongst individuals, the limiting Gaussian distribution has a nonzero mean.
2012 ◽
Vol 49
(02)
◽
pp. 521-530
◽
2018 ◽
Vol 55
(4)
◽
pp. 1287-1308
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Keyword(s):
1998 ◽
Vol 01
(02)
◽
pp. 221-246
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2018 ◽
Vol 18
(2)
◽
pp. 345-356
2021 ◽
pp. 59-69
2010 ◽
Vol DMTCS Proceedings vol. AM,...
(Proceedings)
◽
2019 ◽
Vol 15
(2)
◽
pp. 15-28