Impact of vaccination on the spatial correlation and persistence of measles dynamics.
- 29 October 1996
- journal article
- review article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 93 (22) , 12648-12653
- https://doi.org/10.1073/pnas.93.22.12648
Abstract
The onset of measles vaccination in England and Wales in 1968 coincided with a marked drop in the temporal correlation of epidemic patterns between major cities. We analyze a variety of hypotheses for the mechanisms driving this change. Straightforward stochastic models suggest that the interaction between a lowered susceptible population (and hence increased demographic noise) and nonlinear dynamics is sufficient to cause the observed drop in correlation. The decorrelation of epidemics could potentially lessen the chance of global extinction and so inhibit attempts at measles eradication.Keywords
This publication has 31 references indexed in Scilit:
- Small amplitude, long period outbreaks in seasonally driven epidemicsJournal of Mathematical Biology, 1992
- Chaotic stochasticity: a ubiquitous source of unpredictability in epidemicsProceedings Of The Royal Society B-Biological Sciences, 1991
- Distinguishing error from chaos in ecological time seriesPhilosophical Transactions Of The Royal Society B-Biological Sciences, 1990
- Chaos Versus Noisy Periodicity: Alternative Hypotheses for Childhood EpidemicsScience, 1990
- Multiple attractors in the response to a vaccination programTheoretical Population Biology, 1990
- Oscillations and chaos in epidemics: A nonlinear dynamic study of six childhood diseases in Copenhagen, DenmarkTheoretical Population Biology, 1988
- The estimation of age-related rates of infection from case notifications and serological dataEpidemiology and Infection, 1985
- Age-related changes in the rate of disease transmission: implications for the design of vaccination programmesEpidemiology and Infection, 1985
- An Age-Structured Model of Pre- and Post-Vaccination Measles TransmissionMathematical Medicine and Biology: A Journal of the IMA, 1984
- Spatial, Temporal, and Genetic Heterogeneity in Host Populations And the Design of Immunization ProgrammesMathematical Medicine and Biology: A Journal of the IMA, 1984