The basic reproduction number ℛ0 and effectiveness of reactive interventions during dengue epidemics: The 2002 dengue outbreak in easter Island, Chile

Mathematical Biosciences and Engineering

Volumn 10, Issue 5-6, 2013, Pages 1455-1474

  Chowell, G ^a,b   Fuentes, R ^c   Olea, A ^d   Aguilera, X ^d   Nesse, H ^a   Hyman, J M ^e  

^a ARIZONA STATE UNIVERSITY   (United States)

^b NATIONAL INSTITUTES OF HEALTH   (United States)

^c Ministerio de Salud de Chile   (Chile)

^d UNIVERSIDAD DEL DESARROLLO   (Chile)

^e TULANE UNIVERSITY   (United States)

Author keywords

2002 outbreak; Chile; Dengue; Dengue hemorrhagic fever; Easter Island; Epidemic; Mathematical model; Reproduction number

Indexed keywords

ADOLESCENT; ADULT; AGE; ALGORITHM; ARTICLE; BASIC REPRODUCTION NUMBER; CHILD; DENGUE; DISEASE TRANSMISSION; EPIDEMIC; FEMALE; HUMAN; INFANT; MALE; MATHEMATICS; MIDDLE AGED; POLYNESIA; PRESCHOOL CHILD; STATISTICAL MODEL; STATISTICS; TIME; YOUNG ADULT;

ADOLESCENT; ADULT; AGE FACTORS; ALGORITHMS; BASIC REPRODUCTION NUMBER; CHILD; CHILD, PRESCHOOL; DENGUE; DISEASE OUTBREAKS; EPIDEMICS; FEMALE; HUMANS; INFANT; MALE; MATHEMATICS; MIDDLE AGED; MODELS, STATISTICAL; POLYNESIA; STOCHASTIC PROCESSES; TIME FACTORS; YOUNG ADULT;

EID: 84884475694     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2013.10.1455     Document Type: Article

References (40)

1. X. Aguilera, A. Olea, J. Mora, K. Abarca and J. Segovia, Brote de dengue en Isla de Pascua, El Vigia (Boletín de Vigilancia en Salud Pública), 16 (2002), 37-38.
2. R. M. Anderson and R. M. May, "Infectious Diseases of Humans," Oxford University Press, Oxford, UK, 1991.
3. F. Brauer and C. Castillo-Chavez, "Mathematical Models in Population Biology and Epi-demiology," Springer-Verlag, New York, 2000.
4. G. Chowell, B. Cazelles, H. Broutin and C. V. Munayco, The inuence of climatic and geographic factors on the timing of dengue epidemics in Peru, 1994-2008, BMC Infectious Diseases, 11 (2011), 164.
5. G. Chowell, P. Diaz-Duenas, J. C. Miller, P. W. Fenimore, J. M. Hyman and C. Castillo-Chavez, Estimation of the reproduction number of dengue fever from spatial epidemic data, Mathematical Biosciences, 208 (2007), 571-589. (Pubitemid 47101862)
6. G. Chowell, C. A. Torre, C. Munyaco-Escate, L. Suarez-Ognio, R. Lopez-Cruz, J. M. Hyman and C. Castillo-Chavez, Spatial and temporal dynamics of dengue fever in Peru: 1994-2006, Epidemiology and Infection, 8 (2008), 1-11.
7. G. Chowell and F. Sanchez, Climate-based descriptive models of dengue fever: The 2002 epidemic in Colima, Mexico, Journal of Environmental Health, 68 (2006), 40-44. (Pubitemid 43794569)
8. O. Diekmann and J. Heesterbeek, "Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation," Wiley Series in Mathematical and Computational Biology, John Wiley & Sons, Ltd., Chichester, 2000.
9. Dirección Meteorológica de Chile. Available from: http://www.meteochile.cl/.
10. C. Favier, N. Degallier, M. G. Rosa-Freitas, J. P. Boulanger, J. R. Costa Lima, J. F. Luitgards-Moura, C. E. Menkes, B. Mondet, C. Oliveira, E. T. Weimann and P. Tsouris, Early determination of the reproduction number for vector-borne diseases: The case of dengue in Brazil, Tropical Medicine and International Health, 11 (2006), 332-340. (Pubitemid 43357056)
11. N. M. Ferguson, C. A. Donnelly and R. M. Anderson, Transmission dynamics and epidemiology of dengue: Insights from age-stratified sero-prevalence surveys, Phil. Trans. Roy. Soc. Lond. B, 354 (1999), 757-768. (Pubitemid 29365624)
12. D. A. Focks, E. Daniels, D. G. Haile and J. E. Keesling, A simulation model of the epidemiology of urban dengue fever: Literature analysis, model development, preliminary validation, and samples of simulation results, American Journal of Tropical Medicine and Hygiene, 53 (1995), 489-506.
13. D. J. Gubler, Dengue and dengue hemorrhagic fever, Clinical Microbiology Reviews, 11 (1998), 480-496. (Pubitemid 28379096)
14. L. Gustafsson and M. Sternad, Bringing consistency to simulation of population models-Poisson simulation as a bridge between micro and macro simulation, Mathematical Bio-sciences, 209 (2007), 361-385. (Pubitemid 47390911)
15. S. B. Halstead, Dengue virus-mosquito interactions, Annu Rev Entomol., 53 (2007), 273-291. (Pubitemid 351341942)
16. Y. H. Hsieh and C. W. Chen, Turning points, reproduction number, and impact of climatological events for multi-wave dengue outbreaks, Trop. Med. Int. Health., 14 (2009), 628-638.
17. Y. H. Hsieh and S. Ma, Intervention measures, turning point, and reproduction number for dengue, Singapore, 2005, American Journal of Tropical Medicine and Hygiene, 80 (2009), 66-71.
18. J. M. Hyman, J. Li and E. A. Stanley, The differential infectivity and staged progression models for the transmission of HIV, Mathematical Biosciences, 155 (1999), 77-109. (Pubitemid 129672419)
19. Instituto Nacional de Estadísticas (INE), Estadísticas Demográficas y Vitales, 2009. Available from: http://www.ine.cl.
20. J. A. Jacquez, "Compartmental Analysis in Biology and Medicine," Michigan Thompson-Shore, Inc., Michigan, 1996.
21. T. H. Jetten and D. A. Focks, Potential changes in the distribution of dengue transmission under climate warming, American Journal Tropical Medicine and Hygiene, 57 (1997), 285-297. (Pubitemid 27407265)
22. J. S. Koopman, D. R. Prevots, M. A. Vaca Marin, H. Gomez Dantes, M. L. Zarate Aquino, I. M. Longini, Jr and J. Sepulveda Amor, Determinants and predictors of dengue infection in Mexico. American Journal of Epidemiology, 133 (1991), 1168-1178.
23. C. F. Li, T. W. Lim, L. L. Han and R. Fang, Rainfall, abundance of Aedes aegypti and dengue infection in Selangor, Malaysia, Southeast Asian Journal of Tropical Medicine and Public Health, 16 (1985), 560-568. (Pubitemid 16157716)
24. P. M. Luz, C. T. Codeco, E. Massad and C. J. Struchiner, Uncertainties regarding dengue modeling in Río de Janeiro, Brazil, Memórias do Instituto Oswaldo Cruz, 98 (2003), 871-878. (Pubitemid 38019534)
25. G. MacDonald, "The Epidemiology and Control of Malaria," Chapter Epidemics, Oxford University Press, London, (1957), 45-62.
26. C. A. Marques, O. P. Forattini and E. Massad, The basic reproduction number for dengue fever in S~ao Paulo state, Brazil: 1990-1991 epidemic, Transactions of the Royal Society of Tropical Medicine and Hygiene, 88 (1994), 58-59.
27. E. Massad, F. A. Coutinho, M. N. Burattini and L. F. Lopez, The risk of yellow fever in a dengue-infested area, Transactions of the Royal Society of Tropical Medicine and Hygiene, 95 (2001), 370-374. (Pubitemid 33713098)
28. D. T. Mourya, P. Yadav and A. C. Mishra, Effect of temperature stress on immature stages and susceptibility of Aedes aegypti mosquitoes to chikungunya virus, American Journal Trop-ical Medicine and Hygiene, 70 (2004), 346-350. (Pubitemid 38525544)
29. L. E. Muir and B. H. Kay, Aedes aegypti survival and dispersal estimated by mark-releaserecapture in northern Australia, American Journal of Tropical Medicine and Hygiene, 58 (1998), 277-282. (Pubitemid 28160745)
30. M. Otero, H. G. Solari and N. Schweigmann, A stochastic population dynamics model for Aedes aegypti: Formulation and application to a city with temperate climate, Bulletin of Mathematical Biology, 68 (2006), 1945-1974. (Pubitemid 44705855)
31. C. Perret, K. Abarca, J. Ovalle, P. Ferrer, P. Godoy, A. Olea, X. Aguilera and M. Ferrés, Dengue-1 virus isolation during first dengue fever outbreak on Easter Island, Chile, Emerg Infect Dis., 9 (2003), 1465-1467. (Pubitemid 37356224)
32. R. Ross, "The Prevention of Malaria," John Murray, London, 1910.
33. G. W. Schultz, Seasonal abundance of dengue vectors in Manila, Republic of the Philippines, Southeast Asian Journal of Tropical Medicine and Public Health, 24 (1993), 369-375.
34. D. L. Smith, J. Dushoff and F. E. Mckenzie, The risk of a mosquito-borne infection in a heterogeneous environment, PLoS Biology, 2 (2004), 1957-1964.
35. S. T. Stoddard, A. C. Morrison, G. M. Vazquez-Prokopec, V. Paz Soldan, T. J. Kochel, U. Kitron, J. P. Elder and T. W. Scott, The role of human movement in the transmission of vector-borne pathogens, PLoS Negl. Trop. Dis., 3 (2009), e481.
36. P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180 (2002), 29-48. (Pubitemid 35304346)
37. D. W. Vaughn, S. Green, S. Kalayanarooj, B. L. Innis, S. Nimmannitya, S. Suntayakorn, T. P. Endy, B. Raengsakulrach, A. L. Rothman, F. A. Ennis and A. Nisalak, Dengue viremia titer, antibody response pattern, and virus serotype correlate with disease severity, Journal of Infectious Diseases, 181 (2000), 2-9. (Pubitemid 30049026)
38. H. J. Wearing, P. Rohani and M. J. Keeling, Appropriate models for the management of infectious diseases, PLoS Medicine, 2 (2005), e174.
39. World Health Organization, Dengue and dengue hemorrhagic fever, accessed March 04, 2006. Available from: http://www.who.int/mediacentre/factsheets/fs117/ en/.
40. World Health Organization, Clinical diagnosis of dengue, accessed April 04, 2006. Available from: http://www.who.int/csr/resources/publications/dengue/ 012-23.pdf.