Understanding the persistence of measles: reconciling theory, simulation and observation
UNSPECIFIED. (2002) Understanding the persistence of measles: reconciling theory, simulation and observation. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES, 269 (1489). pp. 335-343. ISSN 0962-8452Full text not available from this repository.
Official URL: http://dx.doi.org/10.1098/rspb.2001.1898
Ever since the pattern of localized extinction associated with measles was discovered by Bartlett in 1957, many models have been developed in an attempt to reproduce this phenomenon. Recently, the use of constant infectious and incubation periods, rather than the more convenient exponential forms, has been presented as a simple means of obtaining realistic persistence levels. However, this result appears at odds with rigorous mathematical theory; here we reconcile these differences. Using a deterministic approach, we parameterize a variety of models to fit the observed biennial attractor, thus determining the level of seasonality by the choice of model. We can then compare fairly the persistence of the stochastic versions of these models, using the 'best-fit' parameters. Finally, we consider the differences between the observed fade-out pattern and the more theoretically appealing 'first passage time'.
|Item Type:||Journal Article|
|Subjects:||Q Science > QH Natural history > QH301 Biology|
|Journal or Publication Title:||PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES|
|Publisher:||ROYAL SOC LONDON|
|Official Date:||22 February 2002|
|Number of Pages:||9|
|Page Range:||pp. 335-343|
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