A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models
- 1 March 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 18 (02) , 289-310
- https://doi.org/10.1017/s0001867800015779
Abstract
We provide a unified probabilistic approach to the distribution of total size and total area under the trajectory of infectives for a general stochastic epidemic with any specified distribution of the infectious period. The key tool is a Wald&s identity for the epidemic process. The generalisation of our results to epidemics spreading amongst a heterogeneous population is straightforward.Keywords
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