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All issues Volume 7 / No 3 (2012) Math. Model. Nat. Phenom., 7 3 (2012) 1-11 References
Free Access
Issue
Math. Model. Nat. Phenom.
Volume 7, Number 3, 2012
Epidemiology
Page(s) 1 - 11
DOI https://doi.org/10.1051/mmnp/20127301
Published online 06 June 2012
  1. Centers for Disease Control and Prevention. Dengue, (2011). Retrieved from http://www.cdc.gov/dengue/ [Google Scholar]
  2. D. Alonso, A. McKane, M. Pascual. Stochastic Amplification in Epidemics. Journal of the Royal Society Interface, (2006), 4, 575-582. [Google Scholar]
  3. D. J. Gubler. Epidemic dengue/dengue hemorrhagic fever as a public health, social and economic problem in the 21st century. Trends in Microbiology, (2002), 10, 100–103. [Google Scholar]
  4. D. T. Gillespie. A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. Journal of Computational Physics, (1976), 22, 403–434. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  5. D. T. Gillespie. Monte Carlo simulation of random walks with residence time dependent transition probability rates. Journal of Computational Physics, (1978), 28, 395–407. [Google Scholar]
  6. J. D. Gubler, W. Suharyono, R. Tan, M. Abidin, A. Sie. Viraemia in patients with naturally acquired dengue infection. Bull. World Health Organ., (1981), 59, 623–630. [PubMed] [Google Scholar]
  7. J. E. Doedel, B. Oldeman. AUTO 07P - Continuation and bifurcation software for ordinary differential equations. Technical Report : Concordia University, Montreal, Canada, (2009). Retrieved from http://indy.cs.concordia.ca/auto/ [Google Scholar]
  8. J. S. Mackenzie, D. J. Gubler, L. R. Petersen. Emerging flaviviruses : the spread and resurgence of Japanese encephalitis, West Nile and dengue viruses. Nature Medicine Review, (2004), 12, S98–S109. [CrossRef] [PubMed] [Google Scholar]
  9. M. Aguiar, B. W. Kooi, N. Stollenwerk. Epidemiology of Dengue Fever : A Model with Temporary Cross-Immunity and Possible Secondary Infection Shows Bifurcations and Chaotic Behaviour in Wide Parameter Regions. Math. Model. Nat. Phenom., (2008), 4, 48–70. [CrossRef] [EDP Sciences] [Google Scholar]
  10. M. Aguiar, N. Stollenwerk, B. W. Kooi. Torus bifurcations, isolas and chaotic attractors in a simple dengue model with ADE and temporary cross immunity. International Journal of Computer Mathematics, (2009), 86, 1867–1877. [Google Scholar]
  11. M. Aguiar, S. Ballesteros, B. W. Kooi, 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. Accepted for publication in Journal of Theoretical Biology, (2011). [Google Scholar]
  12. M. G. Guzmán et al. Dengue : a continuing global threat. Nature Reviews Microbiology, (2010), 8, S7–S16. [CrossRef] [PubMed] [Google Scholar]
  13. M. J. Keeling, J. V. Ross. On methods for studying stochastic disease dynamics. Journal of the Royal Society Interface, (2008), 5, 171–181. [CrossRef] [Google Scholar]
  14. N. Ferguson, R. Anderson, S. Gupta. The effect of antibody-dependent enhancement on the transmission dynamics and persistence of multiple-strain pathogens. Proc. Natl. Acad. Sci. USA, (1999), 96, 790–94. [CrossRef] [Google Scholar]
  15. N. G. van Kampen. Stochastic Processes in Physics and Chemistry. (North-Holland, Amsterdam, 1992). [Google Scholar]
  16. N. Stollenwerk, V. A. A. Jansen. Evolution towards criticality in an epidemiological model for meningococcal disease. Physics Letters A, (2003b), 317, 87–96. [CrossRef] [Google Scholar]
  17. N. Stollenwerk, M. C. J. Maiden, V. A. A. Jansen, V.A.A. Diversity in pathogenicity can cause outbreaks of menigococcal disease. Proc. Natl. Acad. Sci. USA, (2004), 101, 10229–10234. [CrossRef] [Google Scholar]
  18. N. Stollenwerk, V. V. A. Jansen. Population biology and criticality (Imperial College Press, London, 2010). [Google Scholar]
  19. O. Chareonsook et al. Changing epidemiology of dengue hemorrhagic fever in Thailand. Epidemiol. Infect., (1999), 122, 161–166. [CrossRef] [PubMed] [Google Scholar]
  20. Pediatric Dengue Vaccine Initiative. International Vaccine Institute (IVI). Global Burden of Dengue, (2011). Retrieved from http://www.pdvi.org/about_dengue/GBD.asp [Google Scholar]
  21. Pers comm. : Francisco Lemos, Secretaria de Estado de Saúde de Minas Gerais, Brazil ; Sônia Diniz, Fundação Ezequiel Dias, Minas Gerais, Brazil and Scott Halstead, Pedriatic Dengue Vaccine Initiative, Maryland, USA. [Google Scholar]
  22. United Nations Population Division World Urbanization Prospects : The 2009 Revision Population Database, (2011). Retrieved from http://www.un.org/esa/population/unpop.htm [Google Scholar]
  23. S. B. Halstead et al. Dengue and chikungunya virus infection in man in Thailand, 1962–1964. V. Epidemiologic observations outside Bangkok. Am. J. Trop. Med. Hyg., (1969), 18, 1022–33. [PubMed] [Google Scholar]
  24. S. B. Halstead. Antibody-dependent Enhancement of Infection : A Mechanism for Indirect Virus Entry into Cells. Cellular Receptors for Animal Viruses, 28, Chapter 25, 493–516. (Cold Spring Harbor Laboratory Press, 1994). [Google Scholar]
  25. S. B. Halstead. Immune enhancement of viral infection. Progress in Allergy, (1982), 31, 301–364. [PubMed] [Google Scholar]
  26. S. B. Halstead. Neutralization and antibody-dependent enhancement of dengue viruses. Advances in Virus Research, (2003), 60, 421–467. [CrossRef] [PubMed] [Google Scholar]
  27. S. Matheus et al. Discrimination between Primary and Secondary Dengue Virus Infection by an Immunoglobulin G Aviditnoy Test Using a Single Acute-Phase Serum Sample. Journal of Clinical Microbiology, (2005), 43, 2793–2797. [CrossRef] [PubMed] [Google Scholar]
  28. W. Dejnirattisai et al. Cross-Reacting Antibodies Enhance Dengue Virus Infection in Humans. Science, (2010), 328, 745–748. [CrossRef] [PubMed] [Google Scholar]
  29. Wikipedia contributors. Wikipedia, The Free Encyclopedia. Provinces of Thailand, (2011). Retrieved from http://en.wikipedia.org/wiki/Provinces_of_Thailand [Google Scholar]
  30. World Health Organization. Dengue and Dengue Hemorrhagic Fever, Fact sheet 117, (2009). Retrieved from http://www.who.int/mediacentre/factsheets/fs117/en/ [Google Scholar]
  31. Y. Nagao, K. Koelle. Decreases in dengue transmission may act to increase the incidence of dengue hemorrhagic fever. Proc. Natl. Acad. Sci, (2008), 105, 2238–2243. [CrossRef] [Google Scholar]

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