A stochastic general epidemic in m sub-populations
- 1 March 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 13 (03) , 567-572
- https://doi.org/10.1017/s0021900200104115
Abstract
Epidemic models have generally assumed that the population mixes homogeneously. More realistic models can be obtained by dividing the population into sub-populations within which mixing is homogeneous but between which mixing is heterogeneous. We consider such a model for the general epidemic process and present a formulation which permits inroads to be made towards obtaining explicit solutions to the state probabilities.Keywords
This publication has 7 references indexed in Scilit:
- Factorial moments and probabilities for the general stochastic epidemicJournal of Applied Probability, 1973
- On an epidemic in a stratified populationJournal of Applied Probability, 1972
- Mathematical models in the interpretation of the interaction between infective agentsAdvances in Applied Probability, 1971
- 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
- STOCHASTIC CROSS-INFECTION BETWEEN TWO OTHERWISE ISOLATED GROUPSBiometrika, 1957
- THE DETERMINISTIC MODEL OF A SIMPLE EPIDEMIC FOR MORE THAN ONE COMMUNITYBiometrika, 1955