Verguet, S. et al. Measles control in sub-Saharan Africa: South Africa as a case study. Vaccine 30, 1594–1600 (2012).
Anselin, L. Local indicators of spatial association—LISA. Geogr. Anal. 27, 93–115 (1995).
Sabbe, M. Measles resurgence in Belgium from January to mid-April 2011: a preliminary report. Eurosurveillance 16, 19848 (2011).
Châtelet, I. P., du, Floret, D., Antona, D. & Lévy-Bruhl, D. Measles resurgence in France in 2008, a preliminary report. Eurosurveillance 14, 19118 (2009).
Grenfell, B. T., Bjørnstad, O. N. & Kappey, J. Travelling waves and spatial hierarchies in measles epidemics. Nature 414, 716–723 (2001).
Finkenstädt, B. F. & Grenfell, B. T. Time series modelling of childhood diseases: a dynamical systems approach. J. R. Stat. Soc. Ser. C 49, 187–205 (2000).
King, A. A. & Schaffer, W. M. The geometry of a population cycle: a mechanistic model of snowshoe hare demography. Ecology 82, 814–830 (2001).
Wilson, H. B. & Hassell, M. P. Host–parasitoid spatial models: the interplay of demographic stochasticity and dynamics. Proc. R. Soc. Lond. B 264, 1189–1195 (1997).
Xia, Y., Bjørnstad, O. N. & Grenfell, B. T. Measles metapopulation dynamics: a gravity model for epidemiological coupling and dynamics. Am. Nat. 164, 267–281 (2004).
Keeling, M. J. & Grenfell, B. T. Disease extinction and community size: modeling the persistence of measles. Science 275, 65–67 (1997).
Bolker, B. M. & Grenfell, B. T. Impact of vaccination on the spatial correlation and persistence of measles dynamics. Proc. Natl Acad. Sci. USA 93, 12648–12653 (1996).
Bak, P. How Nature Works: The Science of Self-Organized Criticality (Springer Science & Business Media, 2013).
Grenfell, B. & Harwood, J. (Meta)population dynamics of infectious diseases. Trends Ecol. Evol. 12, 395–399 (1997).
Erlander, S. & Stewart, N. F. The Gravity Model in Transportation Analysis: Theory and Extensions (VSP, 1990).
Murray, G. D. & Cliff, A. D. A stochastic model for measles epidemics in a multi-region setting. Trans. Inst. Br. Geogr. 2, 158–174 (1977).
Ferrari, M. J. et al. A gravity model for the spread of a pollinator‐borne plant pathogen. Am. Nat. 168, 294–303 (2006).
Viboud, C. et al. Synchrony, waves, and spatial hierarchies in the spread of influenza. Science 312, 447–451 (2006).
Jandarov, R., Haran, M., Bjørnstad, O. & Grenfell, B. Emulating a gravity model to infer the spatiotemporal dynamics of an infectious disease. J. R. Stat. Soc. Ser. C 63, 423–444 (2014).
Bjørnstad, O. N. & Grenfell, B. T. Hazards, spatial transmission and timing of outbreaks in epidemic metapopulations. Environ. Ecol. Stat. 15, 265–277 (2007).
Birnbaum, Z. W. On the Mathematics of Competing Risks (US Dept. of Health, Education, and Welfare, Public Health Service, Office of the Assistant Secretary for Health, National Center for Health Statistics, 1979).
Bjørnstad, O. N., Finkenstädt, B. F. & Grenfell, B. T. Dynamics of measles epidemics: estimating scaling of transmission rates using a time series SIR model. Ecol. Monogr. 72, 169–184 (2002).
Bharti, N., Xia, Y., Bjornstad, O. N. & Grenfell, B. T. Measles on the edge: coastal heterogeneities and infection dynamics. PLoS ONE 3, e1941 (2008).
Bjørnstad, O. N. & Falck, W. Nonparametric spatial covariance functions: estimation and testing. Environ. Ecol. Stat. 8, 53–70 (2001).
Graham, M. et al. Measles and the canonical path to elimination. Science 364, 584–587 (2019).
Lloyd, A. L. & May, R. M. Spatial heterogeneity in epidemic models. J. Theor. Biol. 179, 1–11 (1996).
Ramsay, M. E. et al. The elimination of indigenous measles transmission in England and Wales. J. Infect. Dis. 187, S198–S207 (2003).
Jin, L., Brown, D. W., Ramsay, M. E., Rota, P. A. & Bellini, W. J. The diversity of measles virus in the United Kingdom, 1992–1995. J. Gen. Virol. 78, 1287–1294 (1997).
Jansen, Va. A. et al. Measles outbreaks in a population with declining vaccine uptake. Science 301, 804–804 (2003).
Gastañaduy, P. A. et al. Impact of public health responses during a measles outbreak in an Amish community in Ohio: modeling the dynamics of transmission. Am. J. Epidemiol. 187, 2002–2010 (2018).
Metcalf, C. J. E. et al. Use of serological surveys to generate key insights into the changing global landscape of infectious disease. Lancet 388, 728–730 (2016).
van Panhuis, W. G. et al. Contagious diseases in the United States from 1888 to the present. N. Engl. J. Med. 369, 2152–2158 (2013).
Kermack, W. O. & McKendrick, A. G. A contribution to the mathematical theory of epidemics. Proc. R. Soc. Lond. Math. Phys. Eng. Sci. 115, 700–721 (1927).
Keeling, M. J. & Rohani, P. Modeling Infectious Diseases in Humans and Animals (Princeton Univ. Press, 2008).
Bjornstad, O. N. Package ‘ncf’: Spatial nonparametric covariance functions v.1.1–7 (R Foundation for Statistical Computing, 2016); http://CRAN.R-project.org/package=ncf
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