Persistent Chaos of Measles Epidemics in the Prevaccination United States Caused by a Small Change in Seasonal Transmission Patterns Public Deposited

http://ir.library.oregonstate.edu/concern/articles/cc08hh30n

Data Availability Statement: All data files on disease incidence are available on Dryad at  http://dx. doi.org/10.5061/dryad.r4q34.

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  • Epidemics of infectious diseases often occur in predictable limit cycles. Theory suggests these cycles can be disrupted by high amplitude seasonal fluctuations in transmission rates, resulting in deterministic chaos. However, persistent deterministic chaos has never been observed, in part because sufficiently large oscillations in transmission rates are uncommon. Where they do occur, the resulting deep epidemic troughs break the chain of transmission, leading to epidemic extinction, even in large cities. Here we demonstrate a new path to locally persistent chaotic epidemics via subtle shifts in seasonal patterns of transmission, rather than through high-amplitude fluctuations in transmission rates. We base our analysis on a comparison of measles incidence in 80 major cities in the prevaccination era United States and United Kingdom. Unlike the regular limit cycles seen in the UK, measles cycles in US cities consistently exhibit spontaneous shifts in epidemic periodicity resulting in chaotic patterns. We show that these patterns were driven by small systematic differences between countries in the duration of the summer period of low transmission. This example demonstrates empirically that small perturbations in disease transmission patterns can fundamentally alter the regularity and spatiotemporal coherence of epidemics.
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  • Dalziel, B. D., Bjørnstad, O. N., van Panhuis, W. G., Burke, D. S., Metcalf, C. J. E., & Grenfell, B. T. (2016). Persistent Chaos of Measles Epidemics in the Prevaccination United States Caused by a Small Change in Seasonal Transmission Patterns. PLoS Computational Biology, 12(2), e1004655. doi:10.1371/journal.pcbi.1004655
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  • description.provenance : Made available in DSpace on 2016-06-21T13:59:07Z (GMT). No. of bitstreams: 3 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) DalzielPersistantChaoMeasles.PDF: 1626738 bytes, checksum: e99b5a3f22d60f1af242a09271176877 (MD5) DalzielPersistantChaoMeaslesSupportingInfo.zip: 828358 bytes, checksum: fe0589b0a966c4fec5579dbbdb7eb313 (MD5) Previous issue date: 2016-02
  • description.provenance : Submitted by Patricia Black (patricia.black@oregonstate.edu) on 2016-06-21T13:58:32Z No. of bitstreams: 3 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) DalzielPersistantChaoMeasles.PDF: 1626738 bytes, checksum: e99b5a3f22d60f1af242a09271176877 (MD5) DalzielPersistantChaoMeaslesSupportingInfo.zip: 828358 bytes, checksum: fe0589b0a966c4fec5579dbbdb7eb313 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2016-06-21T13:59:07Z (GMT) No. of bitstreams: 3 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) DalzielPersistantChaoMeasles.PDF: 1626738 bytes, checksum: e99b5a3f22d60f1af242a09271176877 (MD5) DalzielPersistantChaoMeaslesSupportingInfo.zip: 828358 bytes, checksum: fe0589b0a966c4fec5579dbbdb7eb313 (MD5)

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