Travelling waves and spatial hierarchies in measles epidemics

Nature

Volumn 414, Issue 6865, 2001, Pages 716-723

  Grenfell, B T ^a   Bjornstad O N ^a,b   Kappey, J ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ECOLOGY; RANDOM PROCESSES; VACCINES; WAVELET TRANSFORMS;

SPATIO-TEMPORAL TRAVELLING;

EPIDEMIOLOGY;

EPIDEMIC; HOST-PARASITE INTERACTION; MEASLES; PREDATOR-PREY INTERACTION; SPATIAL DISTRIBUTION;

ARTICLE; DISEASE PREDISPOSITION; DISEASE TRANSMISSION; EPIDEMIC; HOST PARASITE INTERACTION; HUMAN; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MEASLES; POPULATION DYNAMICS; PRIORITY JOURNAL; TIME; UNITED KINGDOM; VIRUS INFECTION; VIRUS TRANSMISSION;

ALGORITHMS; CITIES; DISEASE OUTBREAKS; ENGLAND; EPIDEMIOLOGIC METHODS; HUMANS; MEASLES; MODELS, BIOLOGICAL; SEASONS; URBAN POPULATION; WALES;

EID: 0035856957     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/414716a     Document Type: Article

References (50)

1. Dispersal and pattern formation in a discrete-time predatorprey model
2. Periodic travelling waves in cyclic predator-prey systems
3. Spatial structure and chaos in insect population dynamics
4. Spiral waves, chaos and multiple attractors in lattice models of interacting populations
5. Pattern formation triggered by rare events: Lessons from the spread of rabies
6. Spatial population dynamics: Analysing patterns and processes of population synchrony
7. Complex dynamics and phase synchronization in spatially extended ecological systems
8. Modeling biological invasions - Chance, explanation, prediction
9. A statistical analysis of the 10-year cycle in Canada
10. Spatial asynchrony and periodic travelling waves in cyclic populations of field voles
11. Travelling waves in vole population dynamics
12. Common dynamic structure of Canada lynx populations within three climatic regions
13. Cities and villages: Infection hierarchies in a measles metapopulation
14. An age-structured model of pre- and post-vaccination measles transmission
15. (Meta)population dynamics of infectious diseases
16. A simple model for complex dynamical transitions in epidemics
17. Time series modelling of childhood diseases: A dynamical systems approach
18. Dynamics of measles epidemics. II. Scaling noise, determinism and predictability with the time series SIR model
19. A practical guide to wavelet analysis
20. Wavelets in time series analysis
21. Measles periodicitycommunity size
22. Oscillatory fluctuations in the incidence of infectious disease and the impact of vaccination: Time series analysis
23. Empirical determinants of measles metapopulation dynamics in England and Wales
24. Spatial heterogeneity in epidemic models
25. Spatial dynamics and persistence in ecology and epidemiology
26. Impact of vaccination on the spatial correlation and dynamics of measles epidemics
27. The changing geographical coherence of measles morbidity in the United States, 1962-88
28. The critical community size for measles in the U.S
29. Seasonality and extinction in chaotic metapopulations
30. Transient periodicity in chaos
31. Characterizing canopy gap structure in forests using wavelet analysis
32. Synchrony and second order spatial correlation in host-parasitoid systems
33. Nearly one dimensional dynamics in an in epidemic
34. Space, persistence and the dynamics of measles epidemics
35. Two general metapopulation models and the core-satellite hypothesis
36. Power laws governing epidemics in isolated populations
37. Properties of nonparametric estimators of autocovariance for stationary random fields
38. Nonparametric spatial covariance functions: Estimation and testing
39. Dynamics of measles epidemics. 1. Estimating scaling of transmission rates using a time series SIR model
40. Spatial heterogeneity and the design of immunization programs