Journal of Applied Probability
- J. Appl. Probab.
- Volume 49, Number 2 (2012), 521-530.
A central limit theorem for a discrete-time SIS model with individual variation
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.
J. Appl. Probab., Volume 49, Number 2 (2012), 521-530.
First available in Project Euclid: 16 June 2012
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McVinish, R.; Pollett, P. K. A central limit theorem for a discrete-time SIS model with individual variation. J. Appl. Probab. 49 (2012), no. 2, 521--530. doi:10.1239/jap/1339878802. https://projecteuclid.org/euclid.jap/1339878802