A note on the total size distribution of epidemic models
- 1 September 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 23 (03) , 832-836
- https://doi.org/10.1017/s0021900200111982
Abstract
A simple coupling argument is used to obtain a new proof of a result of Daniels (1967) concerning the total size distribution of the general stochastic epidemic. The proof admits a straightforward generalisation to multipopulation epidemics and indicates that similar results are unlikely to be available for epidemics with non-exponential infectious periods.Keywords
This publication has 6 references indexed in Scilit:
- A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic modelsAdvances in Applied Probability, 1986
- Deterministic and stochastic epidemics with several kinds of susceptiblesAdvances in Applied Probability, 1985
- The threshold behaviour of epidemic modelsJournal of Applied Probability, 1983
- Threshold limit theorems for some epidemic processesAdvances in Applied Probability, 1980
- The epidemic in a closed population with all susceptibles equally vulnerable; some results for large susceptible populations and small initial infectionsActa Biotheoretica, 1978
- A note on the ultimate size of a general stochastic epidemicBiometrika, 1967