R. Ndss, , vol.43, pp.12-25, 2002.

R. Ndss, , pp.20-25, 2003.

M. Aguiar, S. Ballesteros, B. W. Kooi, and N. Stollenwerk, The role of seasonality and import in a minimalistic multi-strain dengue model capturing differences between primary and secondary infections: complex dynamics and its implications for data analysis, J. Theor. Biol, vol.289, pp.181-196, 2011.

M. Aguiar, B. W. Kooi, F. Rocha, P. Ghaffari, and N. Stollenwerk, How much complexity is needed to describe the fluctuations observed in dengue hemorrhagic fever incidence data?, Ecol. Complex, vol.16, pp.31-40, 2013.

M. Aguiar, R. Paul, A. Sakuntabhai, and N. Stollenwerk, Are we modelling the correct dataset? Minimizing false predictions for dengue fever in Thailand, Epidemiol. Infect, vol.142, issue.11, pp.2447-2459, 2014.
URL : https://hal.archives-ouvertes.fr/pasteur-02081539

J. Aldstadt, I. Yoon, D. Tannitisupawong, R. G. Jarman, S. J. Thomas et al., Spacetime analysis of hospitalised dengue patients in rural Thailand reveals important temporal intervals in the pattern of dengue virus transmission, Trop. Med. Int. Health: TM & IH, vol.17, issue.9, pp.1076-1085, 2012.

S. Bhatt, P. W. Gething, O. J. Brady, J. P. Messina, A. W. Farlow et al., The global distribution and burden of dengue, Nature, vol.496, issue.7446, pp.504-507, 2013.

C. Bretó, D. He, E. L. Ionides, and A. A. King, Time series analysis via mechanistic models, Ann. Appl. Stat, vol.3, issue.1, pp.319-348, 2009.

A. Camacho, S. Ballesteros, A. L. Graham, F. Carrat, O. Ratmann et al., Explaining rapid reinfections in multiple-wave influenza outbreaks: Tristan da Cunha 1971 epidemic as a case study, Proc. R. Soc. Lond. B: Biol. Sci, 2011.

R. , lhs: Latin hypercube samples

B. Cazelles and K. Cazelles, Major urban centers have weak influence on the timing of dengue epidemics in Southeast Asia, Int. J. Infect. Dis, vol.21, p.217, 2014.

C. Champagne, D. G. Salthouse, R. Paul, V. Cao-lormeau, B. Roche et al., Structure in the variability of the basic reproductive number (R0) for Zika epidemics in the Pacific islands. eLife 5, e19874, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01487852

M. Chan and M. A. Johansson, The incubation periods of Dengue viruses, PLOS ONE, vol.7, issue.11, 2012.

O. Chareonsook, H. M. Foy, A. Teeraratkul, and N. Silarug, Changing epidemiology of dengue hemorrhagic fever in Thailand, Epidemiol. Infect, vol.122, issue.1, pp.161-166, 1999.

Q. Cheng, Q. Jing, R. C. Spear, J. M. Marshall, Z. Yang et al., The interplay of climate, intervention and imported cases as determinants of the 2014 dengue outbreak in Guangzhou, PLOS Negl. Trop. Dis, vol.11, issue.6, 2017.

H. Clapham, D. A. Cummings, A. Nisalak, S. Kalayanarooj, B. Thaisomboonsuk et al., Epidemiology of infant dengue cases illuminates serotype-specificity in the interaction between immunity and disease, and changes in transmission dynamics, PLOS Negl. Trop. Dis, vol.9, issue.12, 2015.

L. Coudeville and G. P. Garnett, Transmission dynamics of the four dengue serotypes in Southern Vietnam and the potential impact of vaccination, PLOS ONE, vol.7, issue.12, 2012.

H. Q. Cuong, N. T. Vu, B. Cazelles, M. F. Boni, K. T. Thai et al., Spatiotemporal dynamics of dengue epidemics, Southern Vietnam, Emerg. Infect. Dis, vol.19, issue.6, pp.945-953, 2013.

O. Diekmann, J. A. Heesterbeek, and M. G. Roberts, The construction of next-generation matrices for compartmental epidemic models, J. R. Soc. Interface, vol.7, issue.47, pp.873-885, 2010.

V. Duong, L. Lambrechts, R. E. Paul, S. Ly, R. S. Lay et al., Asymptomatic humans transmit dengue virus to mosquitoes, Proc. Natl. Acad. Sci, 2015.
URL : https://hal.archives-ouvertes.fr/pasteur-01239113

J. Dureau, S. Ballesteros, and T. Bogich, ssm: Inference for State Space Models like playing with duplo blocks, 2013.

C. Dye, B. Williams, B. T. Grenfell, B. T. Grenfell, A. P. Dobson et al., Nonlinearities in the dynamics of indirectly-transmitted infections (or, does having a vector make a difference?, Ecology of Infectious Diseases in Natural Populations, pp.260-279, 1995.

N. Evans, M. Chapman, M. Chappell, and K. Godfrey, The structural identifiability of a general epidemic (SIR) model with seasonal forcing, IFAC Proc, vol.35, issue.1, pp.109-114, 2002.

N. Ferguson, R. Anderson, and S. Gupta, The effect of antibody-dependent enhancement on the transmission dynamics and persistence of multiple-strain pathogens, Proc. Natl. Acad. Sci. USA, vol.96, issue.2, pp.790-794, 1999.

R. R. Graham, M. Juffrie, R. Tan, C. G. Hayes, I. Laksono et al., A prospective seroepidemiologic study on dengue in children four to nine years of age in Yogyakarta, Indonesia I. studies in 1995-1996, Am. J. Trop. Med. Hyg, vol.61, issue.3, pp.412-419, 1999.

L. Grange, E. Simon-loriere, A. Sakuntabhai, L. Gresh, R. Paul et al., Epidemiological risk factors associated with high:global frequency of inapparent dengue virus: infections. Front, 2014.

D. Guha-sapir and B. Schimmer, Dengue fever: new paradigms for a changing epidemiology, Emerg. Themes Epidemiol, vol.2, 2005.

M. G. Guzman, S. B. Halstead, H. Artsob, P. Buchy, J. Farrar et al., Dengue: a continuing global threat, Nat. Rev. Microbiol, vol.8, pp.7-16, 2010.

S. B. Halstead, Dengue. Lancet, issue.9599, pp.1644-1652, 2007.

H. Heesterbeek, R. M. Anderson, V. Andreasen, S. Bansal, D. De-angelis et al., Modeling infectious disease dynamics in the complex landscape of global health, Science, vol.347, issue.6227, 2015.

R. Huy, P. Buchy, A. Conan, C. Ngan, S. Ong et al., National dengue surveillance in Cambodia 1980-2008: epidemiological and virological trends and the impact of vector control, Bull. World Health Organ, vol.88, issue.9, pp.650-657, 2010.
URL : https://hal.archives-ouvertes.fr/pasteur-00808323

N. Imai, I. Dorigatti, S. Cauchemez, and N. M. Ferguson, Estimating dengue transmission intensity from sero-prevalence surveys in multiple countries, PLoS Negl. Trop. Dis, vol.9, issue.4, 2015.

N. Imai, I. Dorigatti, S. Cauchemez, and N. M. Ferguson, Estimating dengue transmission intensity from case-notification data from multiple countries, PLOS Negl. Trop. Dis, vol.10, issue.7, 2016.

M. A. Johansson, J. Hombach, and D. A. Cummings, Models of the impact of dengue vaccines: a review of current research and potential approaches, Vaccine, vol.29, issue.35, pp.5860-5868, 2011.

Y. Kao and M. C. Eisenberg, Practical unidentifiability of a simple vector-borne disease model: implications for parameter estimation and intervention assessment, 2018.

A. A. King, E. L. Ionides, M. Pascual, and M. J. Bouma, Inapparent infections and cholera dynamics, Nature, vol.454, issue.7206, pp.877-880, 2008.

K. Laneri, A. Bhadra, E. L. Ionides, M. Bouma, R. C. Dhiman et al., Forcing versus feedback: epidemic malaria and monsoon rains in Northwest India, PLoS Comput. Biol, vol.6, issue.9, 2010.

M. L'azou, A. Moureau, E. Sarti, J. Nealon, B. Zambrano et al., Symptomatic dengue in children in 10 Asian and Latin American Countries, New Engl. J. Med, vol.374, issue.12, pp.1155-1166, 2016.

M. L'azou, J. Assoukpa, K. Fanouillere, E. Plennevaux, M. Bonaparte et al., Dengue seroprevalence: data from the clinical development of a tetravalent dengue vaccine in 14 countries, Trans. R. Soc. Trop. Med. Hyg, 2005.

J. Liu-helmersson, H. Stenlund, A. Wilder-smith, and J. Rocklöv, Vectorial Capacity of Aedes aegypti: effects of temperature and implications for global dengue epidemic potential, PLOS ONE, vol.9, issue.3, 2014.

M. P. Mammen, C. Pimgate, C. J. Koenraadt, A. L. Rothman, J. Aldstadt et al., Spatial and temporal clustering of dengue virus transmission in Thai villages, PLoS Med, vol.5, issue.11, 2008.

J. P. Messina, O. J. Brady, T. W. Scott, C. Zou, D. M. Pigott et al., Global spread of dengue virus types: mapping the 70 year history, Trends Microbiol, vol.22, issue.3, pp.138-146, 2014.

J. P. Messina, O. J. Brady, D. M. Pigott, N. Golding, M. U. Kraemer et al., The many projected futures of dengue, Nat. Rev. Microbiol, vol.13, issue.4, pp.230-239, 2015.

H. Miao, X. Xia, A. S. Perelson, and H. Wu, On identifiability of nonlinear ODE models and applications in viral dynamics, SIAM Rev. Soc. Ind. Appl. Math, vol.53, issue.1, pp.3-39, 2011.

N. A. Muhammad-azami, S. A. Salleh, H. Neoh, S. Z. Syed-zakaria, and R. Jamal, Dengue epidemic in Malaysia: not a predominantly urban disease anymore, BMC Res. Notes, vol.4, 2011.

N. M. Nguyen, D. T. Kien, T. V. Tuan, N. T. Quyen, C. N. Tran et al., Host and viral features of human dengue cases shape the population of infected and infectious Aedes aegypti mosquitoes, Proc. Natl. Acad. Sci, vol.110, issue.22, pp.9072-9077, 2013.

A. Nisalak, H. E. Clapham, S. Kalayanarooj, C. Klungthong, B. Thaisomboonsuk et al., Forty years of dengue surveillance at a Tertiary Pediatric Hospital in, Am. J. Trop. Med. Hyg, vol.94, issue.6, pp.1342-1347, 1973.

J. Ong, G. Yap, C. Hapuarachchi, C. S. Tang, S. Liang et al., Dengue review of 2016 and outlook for 2017, Singap. Epidemiol. News Bull, vol.43, issue.2, pp.47-56, 2008.

A. Pandey, A. Mubayi, and J. Medlock, Comparing vector-host and SIR models for dengue transmission, Math. Biosci, vol.246, issue.2, pp.252-259, 2013.

T. A. Perkins, V. A. Paz-soldan, S. T. Stoddard, A. C. Morrison, B. M. Forshey et al., Calling in sick: impacts of fever on intra-urban human mobility, Proc. R. Soc. B, vol.283, 1834.

A. Prayitno, A. Taurel, J. Nealon, H. I. Satari, M. R. Karyanti et al., Dengue seroprevalence and force of primary infection in a representative population of urban dwelling Indonesian children, PLOS Negl. Trop. Dis, vol.11, issue.6, 2017.

N. G. Reich, S. Shrestha, A. A. King, P. Rohani, J. Lessler et al., Interactions between serotypes of dengue highlight epidemiological impact of cross-immunity, J. R. Soc. Interface, vol.10, issue.86, 2013.

N. G. Reich, S. A. Lauer, K. Sakrejda, S. Iamsirithaworn, S. Hinjoy et al., Challenges in real-time prediction of infectious disease: a case study of dengue in Thailand, PLOS Negl. Trop. Dis, vol.10, issue.6, 2016.

R. C. Reiner, T. A. Perkins, C. M. Barker, T. Niu, L. F. Chaves et al., A systematic review of mathematical models of mosquito-borne pathogen transmission: 1970-2010, J. R. Soc. Interface, vol.10, issue.81, 2013.

M. E. Reller, C. Bodinayake, A. Nagahawatte, V. Devasiri, W. Kodikara-arachichi et al., Unsuspected dengue and acute febrile illness in rural and semi-urban southern Sri Lanka, Emerg. Infect. Dis, vol.18, issue.2, pp.256-263, 2012.

F. Rocha, M. Aguiar, M. Souza, and N. Stollenwerk, Time-scale separation and centre manifold analysis describing vector-borne disease dynamics, Int. J. Comput. Math, vol.90, issue.10, pp.2105-2125, 2013.

F. Rocha, L. Mateus, U. Skwara, M. Aguiar, and N. Stollenwerk, Understanding dengue fever dynamics: a study of seasonality in vector-borne disease models, Int. J. Comput. Math, vol.93, issue.8, pp.1405-1422, 2016.

C. Champagne, Epidemics, vol.26, pp.43-57, 2019.

H. Salje, J. Lessler, T. P. Endy, F. C. Curriero, R. V. Gibbons et al., Revealing the microscale spatial signature of dengue transmission and immunity in an urban population, Proc. Natl. Acad. Sci. USA, vol.109, issue.24, pp.9535-9538, 2012.

H. Salje, J. Lessler, I. M. Berry, M. C. Melendrez, T. Endy et al., Dengue diversity across spatial and temporal scales: local structure and the effect of host population size, Science, vol.355, issue.6331, pp.1302-1306, 2017.

T. M. Sharp, K. M. Tomashek, J. S. Read, H. S. Margolis, and S. H. Waterman, A new look at an old disease: recent: insights into the global epidemiology of dengue, Curr. Epidemiol. Rep, vol.4, issue.1, pp.11-21, 2017.

D. S. Shepard, E. A. Undurraga, Y. A. Halasa, and J. D. Stanaway, The global economic burden of dengue: a systematic analysis, Lancet Infect. Dis, vol.16, issue.8, pp.146-154, 2016.

D. J. Spiegelhalter, N. G. Best, B. P. Carlin, and A. Van-der-linde, Bayesian measures of model complexity and fit, J. R. Stat. Soc.: Ser. B (Stat. Methodol.), vol.64, issue.4, pp.583-639, 2002.

S. T. Stoddard, B. M. Forshey, A. C. Morrison, V. A. Paz-soldan, G. M. Vazquez-prokopec et al., House-to-house human movement drives dengue virus transmission, Proc. Natl. Acad. Sci. USA, vol.110, issue.3, pp.994-999, 2013.

D. Strickman, R. Sithiprasasna, P. Kittayapong, and B. L. Innis, Distribution of dengue and Japanese encephalitis among children in rural and suburban Thai villages, Am. J. Trop. Med. Hyg, vol.63, issue.1-2, pp.27-35, 2000.

R. D. Team, R: A Language and Environment for Statistical Computing, 2015.

Q. A. Bosch, B. K. Singh, M. R. Hassan, D. D. Chadee, E. Michael et al., The role of serotype interactions and seasonality in dengue model selection and control: insights from a pattern matching approach, PLOS Negl. Trop. Dis, vol.10, issue.5, 2016.

M. Teurlai, R. Huy, B. Cazelles, R. Duboz, C. Baehr et al., Can human movements explain heterogeneous propagation of dengue fever in Cambodia?, PLOS Negl. Trop. Dis, vol.6, issue.12, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01495165

K. T. Thai, T. Q. Binh, P. T. Giao, H. L. Phuong, L. Q. Hung et al., Seroprevalence of dengue antibodies, annual incidence and risk factors among children in southern Vietnam, Trop. Med. Int. Health, vol.10, issue.4, pp.379-386, 2005.

K. T. Thai, T. T. Nga, N. Van-nam, H. L. Phuong, P. T. Giao et al., Incidence of primary dengue virus infections in Southern Vietnamese children and reactivity against other flaviviruses, Trop. Med. Int. Health, vol.12, issue.12, pp.1553-1557, 2007.

N. T. Tien, C. Luxemburger, N. T. Toan, L. Pollissard-gadroy, V. T. Huong et al., A prospective cohort study of dengue infection in schoolchildren in Long Xuyen, Viet Nam, Trans. R. Soc. Trop. Med. Hyg, vol.104, issue.9, pp.592-600, 2010.

S. Vong, V. Khieu, O. Glass, S. Ly, V. Duong et al., Dengue incidence in urban and rural Cambodia: results from population-based active fever surveillance, PLoS Negl. Trop. Dis, vol.4, issue.11, 2006.
URL : https://hal.archives-ouvertes.fr/pasteur-00808145

, Dengue -World Health Organisation, 2017.

O. Wichmann, I. Yoon, S. Vong, K. Limkittikul, R. V. Gibbons et al., Dengue in Thailand and Cambodia: an assessment of the degree of underrecognized disease burden based on reported cases, PLoS Negl. Trop. Dis, vol.5, issue.3, 2011.
URL : https://hal.archives-ouvertes.fr/pasteur-00805501

H. Wickham, ggplot2: Elegant Graphics for Data Analysis, 2009.

I. Yoon, A. L. Rothman, D. Tannitisupawong, A. Srikiatkhachorn, R. G. Jarman et al., Underrecognized mildly symptomatic viremic dengue virus infections in rural Thai schools and villages, J. Infect. Dis, vol.206, issue.3, pp.389-398, 2012.