Transmission of dengue hemorrhagic fever in an age structured population

Mathematical and Computer Modelling

Volumn 37, Issue 9-10, 2003, Pages 949-961

  Pongsumpun, P ^a   Tang, I M ^a,b  

^a MAHIDOL UNIVERSITY   (Thailand)

^b MAHIDOL UNIVERSITY   (Thailand)

Author keywords

Age structure; Dengue hemorrhagic fever; Disease transmission; SIR model

Indexed keywords

EID: 0038010392     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(03)00111-0     Document Type: Article

References (19)

1. R. Ross, The Prevention of Malaria, Second Edition, Murray, London, (1911).
2. G. MacDonald, The Epidemiology and Control of Malaria, Oxford University Press, London, (1957).
3. F.E. McKenzie, Why model malaria?, Parasitology Today 16, 511-516, (2000).
4. T.P. Monath, Dengue. The risk to developed and developing countries, Proc. Nat. Acad. Sci. USA 91, 2395-2400, (1994).
5. D.J. Gubler, Dengue and dengue hemorrhagic fever, Clin. Mirobiol. Rev. 11, 480-491, (1998).
6. Pan American Health Organization, Dengue and Dengue hemorrhagic fever in the Americas: Guidelines for prevention and control, Washington DC, PAHO, Scientific Publication #548, (1994).
7. J.F. Mendez Galvan and R.M. Castellanos, Manual para la viglancia epideniologica del Dengue, Secretaria de Salud, DF, Mexico, (1994).
8. L. Esteva and C. Vargas, Analysis of a dengue disease transmission model, Math. BioSci. 150, 131-151, (1998).
9. L. Esteva and C. Vargas, A model for dengue disease with variable human population, J. Math. Bio. 38, 220-240, (1999).
10. L. Esteva and C. Vargas, Influence of vertical and mechanical transmission on the dynamics of Dengue disease, Math. Biosci. 167, 51-64, (2000).
11. M.G. Guzman, G.P. Kouri, J. Bravo, M. Solet, S. Vasquez, M. Santos, R. Villaescusa, P. Basanta, G. Indan and J.M. Ballester, Dengue hemorrhagic fever in Cuba. II. Clinical investigations, Trans. R. Soc. Trop. Med. Hyg. 78, 239-241, (1984).
12. M.G. Guzman, G.P. Kouri, L. Valdes, J. Bravo, M. Alvarez, S. Vasquez, I. Delgado and S.B. Halstead, Epidemiologic studies on dengue in Santiago de Cuba, 1997, Am. J. Epidemiol. 152, 793-799, (2000).
13. Z. Feng and J.X. Velsco-Hernandez, Competitive exclusion in a vector-host model for the Dengue fever, J. Math. Bio. 35, 523-544, (1997).
14. D.A. Focks, E. Daniels, D.G. Haile and J.E. Kleesling, A simulation model of the epidemiology of urban dengue: Literature analysis, model development, preliminary validation and samples of simulation results, Am. J. Trop. Mede. Hyg. 53 (5), 489-506, (1995).
15. Annual Epidemiological Surveillance Report, 1992-1998, Division of Epidemiology, Ministry of Public Health, Royal Thai Government.
16. D.S. Burke, A. Nisalak, D.E. Johnson and R.M. Scott, A prospective study of dengue infections in Bangkok, Am. J. Trop. Mede. Hyg. 38 (1), 172-180, (1988).
17. J.E. Marsden and M. McCracken, The Hopf Bifurcation and Its Applications, Springer-Verlag, New York, (1976).
18. L. Molineaux and G. Gramiccia, The Garki Project, World Health Organization, Geneva, (1980).
19. R.M. Anderson and R.M. May, Infectious Diseases of Humans, Oxford University, Oxford, (1992).