Abstract
In recent years the global nature of epidemic spread has become a well established fact, however there have been limited studies on the detailed propagation of infectious diseases on regional scales. We have recently introduced a simulation program that explores disease propagation on such scales: the model uses a gridded geographical description of human settlements on top of which mobility is implemented using the Radiation Model. Parallel computation permits unlimited complexity. Both individual and equation based simulations of epidemiological models can be performed, thus permitting the exploration of the effects of mobility locally and globally. Using a SIR model parametrized for measles, we perform simulations for the area of British Isles, which we assume isolated. Exploring how the dynamics is influenced by human mobility, we show that mobility influences the dynamics globally and locally. In particular, the interplay of mobility and city size, enhances or reduces the contribution of the different mechanisms involved.
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References
Dunyak, J., Martin, C., Lampe, R.: Analysis of the influence of social structure on a measles epidemic. Appl. Math. Comput. 92, 283 (1988)
Sander, L.M., Warren, C.P., Sokolov, I.M.: Epidemics, disorder and percolation. Phys. A 325, 1 (2003)
Eubank, S., et al.: Structure of social contact networks and their impact on epidemics. DIMACS Ser. Discrete Math. Theor. Comput. Sci. 70, 181 (2010)
Colizza, V., et al.: The modelling of global epidemics: stochastic dynamics and predictability. Bull. Math. Biol. 68, 1893 (2006)
Colizza, V., et al.: The role of the airline transportation network in the prediction and predictability of global epidemics. PNAS 103, 2015 (2006)
Colizza, V., et al.: Predictability and epidemic pathways in global outbreaks of infectious diseases: the SARS case study. BMC Med. 5, 34 (2007)
Gonzalez, M.C., Hidalgo, C.A., Barabasi, A.L.: Understanding individual human mobility patterns. Nature 453, 779 (2008)
Marguta, R., Parisi, A.: Impact of human mobility on the periodicities and mechanisms underlying measles dynamics. J. R. Soc. Interface 7, 20141317 (2015). doi:10.1098/rsif.2014.1317
Simini, F., Gonzalez, M.C., Maritan, A., Barabasi, A.L.: A universal model for mobility and migration patterns. Nature 484, 96 (2012)
Keeling, M.J., Rohani, P., Grenfell, B.T.: Seasonally forced disease dynamics explored as switching between attractors. Phys. D 148, 317 (2001)
Alonso, D., McKane, A.J., Pascual, M.: Stochastic amplification in epidemics. J. R. Soc. Interface 4, 575 (2007)
Black, A.J., McKane, A.J., Nunes, A., Parisi, A.: Stochastic fluctuations in the susceptible-infective-recovered model with distributed infectious periods. Phys. Rev. E 80, 021922 (2009)
Bjornstad, O.N., Finkenstädt, B.F., Grenfell, B.T.: Endemic and epidemic dynamics of measles: Estimating epidemiological scaling with a time series SIR model. Ecol. Monogr. 72, 169 (2002)
Cliff, A.D., Haggett, P.: Changes in the seasonal incidence ofmeasles in Iceland, 18961974. J. Hyg. Camb. 85, 451 (1980)
Cliff, A.D.: Spatial Diffusion: an Historical Geography of Epidemics in an Island Community. Cambridge University Press, Cambridge (1981)
Alonso, D., McKane, A.J., Pascual, M.: Stochastic amplification in epidemics. J. R. Soc. Interface 4, 575 (2007)
Lloyd., A.: Destabilization of epidemic models with the inclusion of realistic distributions of infectious periods. Proc. R. Soc. Lond. B 268, 985 (2001)
Center for International Earth Science Information Network (CIESIN)/Columbia University, United Nations Food and Agriculture Programme (FAO), and Centro Internacional de Agricultura Tropical (CIAT).: Gridded Population of the World, Version 3 (GPWv3): Population Count Grid. Palisades, NY: NASA Socioeconomic Data and Applications Center (SEDAC) (2005)
Gillespie, D.T.: A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comput. Phys. 22, 403 (1976)
Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P.: Optimization by Simulated Annealing. Science 220, 671 (1983)
Acknowledgments
The authors acknowledge funding from the Fundação para a Ciência e a Tecnologia (FCT) under contract no. PTDC/SAU-EPI/112179/2009, and centre grant (to BioISI, centre reference: UID/MULTI/04046/2013), obtained from FCT/MCTES/PIDDAC, Portugal.
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Marguta, R., Parisi, A. (2016). Human Mobility and the Dynamics of Measles in Large Geographical Areas. In: Battiston, S., De Pellegrini, F., Caldarelli, G., Merelli, E. (eds) Proceedings of ECCS 2014. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-29228-1_15
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DOI: https://doi.org/10.1007/978-3-319-29228-1_15
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