B. T. Grenfell, O. N. Bjornstad, and J. Kappey, Travelling waves and spatial hierarchies in measles epidemics, Nature, vol.414, issue.6865, pp.716-723, 2001.
DOI : 10.1038/414716a

M. Choisy and P. Rohani, Changing spatial epidemiology of pertussis in continental USA, Proceedings of the Royal Society B: Biological Sciences, vol.330, issue.6006, pp.4574-81, 2012.
DOI : 10.1126/science.1194134

P. Rohani, D. J. Earn, and B. Grenfell, Opposite Patterns of Synchrony in Sympatric Disease Metapopulations, Science, vol.286, issue.5441, pp.968-971, 1999.
DOI : 10.1126/science.286.5441.968

B. T. Grenfell and B. M. Bolker, Cities and villages: infection hierarchies in a measles metapopulation, Ecology Letters, vol.1, issue.1, pp.63-70, 1998.
DOI : 10.1038/381600a0

Z. Agur, L. Cojocaru, G. Mazor, R. M. Anderson, and Y. L. Danon, Pulse mass measles vaccination across age cohorts., Proc. Natl. Acad. Sci. USA 90, pp.11698-702, 1993.
DOI : 10.1073/pnas.90.24.11698

URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC48051/pdf

R. E. Rowthorn, R. Laxminarayan, and C. A. Gilligan, Optimal control of epidemics in metapopulations, Journal of The Royal Society Interface, vol.67, issue.2, pp.1135-1179, 2009.
DOI : 10.1094/PHYTO.2004.94.2.209

D. A. Cummings, Travelling waves in the occurrence of dengue haemorrhagic fever in Thailand, Nature, vol.427, issue.6972, pp.344-347, 2004.
DOI : 10.1038/nature02225

H. Broutin, E. Elguero, F. Simondon, and J. Guégan, Spatial dynamics of pertussis in a small region of Senegal, Proceedings of the Royal Society B: Biological Sciences, vol.271, issue.1553, pp.2091-2098, 2004.
DOI : 10.1098/rspb.2004.2847

M. J. Ferrari, The dynamics of measles in sub-Saharan Africa, Nature, vol.164, issue.7179, pp.679-84, 2008.
DOI : 10.1017/S0022172400062859

S. Altizer, Seasonality and the dynamics of infectious diseases, Ecology Letters, vol.145, issue.4, pp.467-84, 2006.
DOI : 10.1007/s004420100767

M. B. Hoshen and A. P. Morse, A weather-driven model of malaria transmission, Malaria Journal, vol.3, issue.1, p.32, 2004.
DOI : 10.1186/1475-2875-3-32

G. C. De-magny, Environmental signatures associated with cholera epidemics, Proceedings of the National Academy of Sciences, vol.78, issue.3, pp.17676-17681, 2008.
DOI : 10.1093/biomet/78.3.691

A. J. Conlan and B. Grenfell, Seasonality and the persistence and invasion of measles, Proceedings of the Royal Society B: Biological Sciences, vol.98, issue.6, pp.1133-1141, 2007.
DOI : 10.1086/422341

S. Funk, M. Salathé, and V. A. Jansen, Modelling the influence of human behaviour on the spread of infectious diseases: a review, Journal of The Royal Society Interface, vol.4, issue.50, pp.1247-1256, 2010.
DOI : 10.1007/s10867-008-9060-9

M. S. Bartlett, Measles Periodicity and Community Size, Journal of the Royal Statistical Society. Series A (General), vol.120, issue.1, pp.48-70, 1957.
DOI : 10.2307/2342553

H. Broutin, F. Simondon, and J. Guégan, Whooping cough metapopulation dynamics in tropical conditions: disease persistence and impact of vaccination, Proceedings of the Royal Society B: Biological Sciences, vol.271, issue.Suppl_5, pp.302-307, 2004.
DOI : 10.1098/rsbl.2004.0173

H. Cuong, Spatiotemporal Dynamics of Dengue Epidemics, Southern Vietnam, Emerging Infectious Diseases, vol.19, issue.6, pp.945-953, 2013.
DOI : 10.3201/eid1906.121323

J. Gaudart, Spatio-Temporal Dynamics of Cholera during the First Year of the Epidemic in Haiti, PLoS Neglected Tropical Diseases, vol.10, issue.4, p.2145, 2013.
DOI : 10.1371/journal.pntd.0002145.t001

URL : https://hal.archives-ouvertes.fr/hal-01307665

K. Shea, M. J. Tildesley, M. C. Runge, C. J. Fonnesbeck, and M. J. Ferrari, Adaptive Management and the Value of Information: Learning Via Intervention in Epidemiology, PLoS Biology, vol.9, issue.10, p.1001970, 2014.
DOI : 10.1371/journal.pbio.1001970.s007

M. L. Cohen, Changing patterns of infectious disease, Nature, vol.406, issue.6797, pp.762-768, 2000.
DOI : 10.1038/35021206

K. E. Jones, Global trends in emerging infectious diseases, Nature, vol.309, issue.7181, pp.990-994, 2008.
DOI : 10.3201/eid1112.050997

S. Cauchemez, Local and regional spread of chikungunya fever in the Americas, Eurosurveillance, vol.19, issue.28, p.20854, 2014.
DOI : 10.2807/1560-7917.ES2014.19.28.20854

URL : https://hal.archives-ouvertes.fr/hal-01317402

I. Leparc-goffart, A. Nougairede, S. Cassadou, C. Prat, and X. De-lamballerie, Chikungunya in the Americas, Chikungunya in the Americas, p.514, 2014.
DOI : 10.1016/S0140-6736(14)60185-9

URL : https://hal.archives-ouvertes.fr/hal-01213833

S. P. Van-noort, Ten-year performance of Influenzanet: ILI time series, risks, vaccine effects, and care-seeking behaviour, Epidemics, vol.13, pp.28-36, 2015.
DOI : 10.1016/j.epidem.2015.05.001

A. Blateau, Le réseau de médecins sentinelles de Martinique en 2011, BVS, vol.5, pp.5-7, 2011.

J. W. Cooley and J. W. Tukey, An algorithm for the machine calculation of complex Fourier series, Mathematics of Computation, vol.19, issue.90, pp.297-301, 1965.
DOI : 10.1090/S0025-5718-1965-0178586-1

R. Team, R: A language and environment for statistical computing. R Foundation for Statistical Computing, 2013.

B. M. Bolker, Ecological Models and Data in R, 2007.

S. Marcombe, Reduced Efficacy of Pyrethroid Space Sprays for Dengue Control in an Area of Martinique with Pyrethroid Resistance, Am J Trop. Med Hyg, vol.80, pp.745-751, 2009.

M. Robinson, A Model for a Chikungunya Outbreak in a Rural Cambodian Setting: Implications for Disease Control in Uninfected Areas, PLoS Neglected Tropical Diseases, vol.1, issue.9, p.3120, 2014.
DOI : 10.1371/journal.pntd.0003120.t002

W. V. Bortel, Chikungunya outbreak in the Caribbean region, December 2013 to March 2014, and the significance for Europe, Eurosurveillance, vol.19, issue.13, p.20759, 2013.
DOI : 10.2807/1560-7917.ES2014.19.13.20759

M. S. Majumder, Utilizing Nontraditional Data Sources for Near Real-Time Estimation of Transmission Dynamics During the 2015-2016 Colombian Zika Virus Disease Outbreak, JMIR Public Health and Surveillance, vol.2, issue.1, p.105, 2016.
DOI : 10.2196/publichealth.5814

T. D. Hollingsworth, Seven challenges for modelling indirect transmission: Vector-borne diseases, macroparasites and neglected tropical diseases, Epidemics, vol.10, p.7, 2014.
DOI : 10.1016/j.epidem.2014.08.007

V. Colizza, A. Barrat, M. Barthelemy, and A. Vespignani, The role of the airline transportation network in the prediction and predictability of global epidemics, Proceedings of the National Academy of Sciences, vol.101, issue.20, pp.10-1073, 2005.
DOI : 10.1073/pnas.0400280101

R. C. Reiner, A systematic review of mathematical models of mosquito-borne pathogen transmission: 1970-2010, Journal of The Royal Society Interface, vol.1, issue.8, p.20120921, 2013.
DOI : 10.1038/ncomms1107

D. L. Smitha, Recasting the theory of mosquito-borne pathogen transmission dynamics and control, Transactions of the Royal Society of Tropical Medicine and Hygiene, vol.108, issue.4, pp.185-197, 2014.
DOI : 10.1093/trstmh/tru026

M. Salathé, C. Freifeld, S. Mekaru, A. Tomasulo, and J. Brownstein, Influenza A (H7N9) and the Importance of Digital Epidemiology, New England Journal of Medicine, vol.369, issue.5, pp.401-404, 2013.
DOI : 10.1056/NEJMp1307752

M. Salathé, Digital Epidemiology, PLoS Computational Biology, vol.8, issue.7, p.1002616, 2012.
DOI : 10.1371/journal.pcbi.1002616.g001

G. M. Vazquez-prokopec, U. Kitron, B. Montgomery, P. Horne, and S. A. Ritchie, Quantifying the Spatial Dimension of Dengue Virus Epidemic Spread within a Tropical Urban Environment, PLoS Neglected Tropical Diseases, vol.3, issue.10, pp.1-14, 2010.
DOI : 10.1371/journal.pntd.0000920.s002

J. M. Drake, Ebola Cases and Health System Demand in Liberia, PLOS Biology, vol.7, issue.Suppl, p.1002056, 2015.
DOI : 10.1371/journal.pbio.1002056.s016

S. S. Morse, Factors in the Emergence of Infectious Diseases, Emerging Infectious Diseases, vol.1, issue.1, pp.7-15, 1995.
DOI : 10.3201/eid0101.950102

T. Smieszek and M. Salathe, A low-cost method to assess the epidemiological importance of individuals in controlling infectious disease outbreaks, BMC Medicine, vol.2, issue.1, p.35, 2013.
DOI : 10.1016/j.epidem.2010.10.001

B. Roche, The niche reduction approach: an opportunity for optimal control of infectious diseases in low-income countries?, BMC Public Health, vol.339, issue.6996, p.753, 2014.
DOI : 10.1126/science.1229509

URL : https://hal.archives-ouvertes.fr/pasteur-01053863