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Dengue Transmission Model between Infantand Pregnant Woman with Antibody
Abstract:Dengue, a disease found in most tropical and subtropical areas of the world. It has become the most common arboviral disease of humans. This disease is caused by any of four serotypes of dengue virus (DEN1-DEN4). In many endemic countries, the average age of getting dengue infection is shifting upwards, dengue in pregnancy and infancy are likely to be encountered more frequently. The dynamics of the disease is studied by a compartmental model involving ordinary differential equations for the pregnant, infant human and the vector populations. The stability of each equilibrium point is given. The epidemic dynamic is discussed. Moreover, the numerical results are shown for difference values of dengue antibody.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1058805Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF
 L. Esteva, and C. Vargas, "A model for dengue disease with variable human population," J Math Bio., vol. 38, pp. 220-240, 1999.
 L. Esteva, and C. Vargas, "Coexistence of different serotypes of dengue virus," J Math Bio., vol. 46, pp. 31-47, 2003.
 World Health Organization, Dengue Haemorrhagic fever: Diagnosis treatment and control, Geneva, 1997.
 A. W. Smith, and E. Schwartz, "Dengue in travelers," N Engl J Med., vol. 353, pp. 924-32, 2005.
 D. J. Gubler, "Epidemic dengue/dengue hemorrhagic fever as a public health, social and economic problem in the 21st century," Trends Microbiol., vol. 10, pp. 100-3, 2002.
 Division of Vector-Born Infectious Disease, National Center for Infectious Disease, Centers for Disease Control and Prevention, Dengue fever. Available: (http://www.cdc.gov/ncidod/dvbid/dengue).
 M. G. Guzman, and G. Louri, "Dengue: an update," Lancet Infect Dis., vol. 2, pp. 23-42, 2002.
 F. P. Pinheiro, and S. J. Corber, "Global situation of dengue and dengue haemorrhagic fever, and its emergence in the Americas," World Health Stat Q., vol. 50, pp. 161-169, 1997.
 Division of Epidemiology, Ministry of Public Health, Thailand, Annual Epidemiological Survillance Report, 1997-2007.
 KC. Shekhar, and OL. Hual, "Epidemiology of dengue/dengue hemorrhagic fever in Malaysia-a retrospective epidemiological study 1973-1987 Part1: Dengue hemorrhagic fever (DHF)," Asia Pac J Public Health., vol. 6, pp. 15-25, 1992.
 S. B. Halstead, "Observations related to pathogenesis of dengue hemorrhagic. VI. Hypotheses and discussion," Yale J Biol Med., vol. 42, pp. 350-362, 1970.
 D.J. Gubler, "Dengue and Dengue Hemorrhagic Fever," Clinical Microbiology Review., vol. 11, pp.480-496, 1998.
 A. L. Rothman, and F. A. Ennis, "Immunopathogenesis of dengue hemorrhagic fever," Virology, vol. 257, pp. 1-6, 1999.
 W. Veerachai, P. E. Timothy, S. Rudiwilai, K. Angkool, S. Sriluck, P. Napuschon, A. Chanchai, W. V. David, HO. Cynthia, and N. Ananda, "Transplacentally transferred maternal-infant antibodies to dengue virus," J Trop Med Hyg., vol. 69, pp. 123-128, 2003.
 M Robert, Stability and Complexity in Model Ecosystems, Princeton University Press, New Jersey, 1973.
 R. M. Anderson, and R. M. May, Infectious diseases of humans, Oxford: Oxford University Press, 1991.
 K. Dietz, "The estimation of the basic reproduction number for infectious disease," Stat Methods Med Res., vol. 2, pp. 23-41, 1993.
 R. M. Anderson, "Discussion: the Kermack-Mckendrick epidemic threshold theorem," Bull Math Biol., vol. 53, pp. 3-32, 1991.