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Patterns of density dependence in measles dynamics

B Finkenstädt1, M Keeling, B Grenfell

  • 1Department of Zoology, University of Cambridge, UK.

Proceedings. Biological Sciences
|June 17, 1998
PubMed
Summary

Population size and birth rate significantly influence measles dynamics. Larger populations show predictable endemic patterns, while birth rate variations shift measles cycles from annual to biennial, impacting disease spread.

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Area of Science:

  • Ecology and Evolutionary Biology
  • Epidemiology
  • Mathematical Biology

Background:

  • Metapopulation dynamics are crucial for understanding long-term population behavior under environmental changes.
  • External perturbations can significantly alter population dynamics, making their study vital for predicting disease spread.

Purpose of the Study:

  • To investigate how spatiotemporal variations in demographic factors influence measles population dynamics in England and Wales.
  • To analyze the impact of birth rate and population size on epidemic periodicity and density dependence.

Main Methods:

  • Utilized nonparametric statistical methods to analyze spatiotemporal data from 60 cities.
  • Employed simulation modeling to complement observed data analysis.
  • Identified demographic variables as bifurcation parameters affecting epidemic trade-offs.

Main Results:

  • Observed a transition from irregular, unpredictable measles patterns in small populations to regular, predictable endemic patterns in larger populations.
  • Demonstrated that variations in birth rate cause a bifurcation in measles cyclicity, shifting from annual to biennial patterns.
  • Confirmed these findings in both real-world data and simulated model data.

Conclusions:

  • Demographic factors like population size and birth rate are critical determinants of measles epidemic predictability and cyclicity.
  • Understanding these influences is essential for effective public health strategies and disease management in metapopulations.

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