The recurrent epidemic
- 1 September 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 11 (03) , 568-571
- https://doi.org/10.1017/s0021900200096352
Abstract
The recurrent epidemic model has hitherto proved mathematically intractable. It is shown here that by imposing the mild condition that the source of new susceptibles is initially of a constant size M for M sufficiently large that there is zero probability of more than M new susceptibles being added to the population in the course of the epidemic, then state probabilities for the stochastic recurrent epidemic model can be found.Keywords
This publication has 2 references indexed in Scilit:
- RIGHT-SHIFT PROCESSESProceedings of the National Academy of Sciences, 1969
- A recursion theorem on solving differential-difference equations and applications to some stochastic processesJournal of Applied Probability, 1969