Um Modelo Matemático da Reinfecção da Rubéola

Authors

  • S.M. Raimundo
  • H.M. Yang

DOI:

https://doi.org/10.5540/tema.2003.04.03.0367

Abstract

Neste trabalho desenvolve-se um modelo matemático que descreve a dinâmica da reinfecção da rubéola e propõe a vacinação como estratégia de controle e/ou erradicação da doença em uma comunidade. Com o objetivo de analisar como a infecção ainda é mantida na população, mesmo existindo um programa de vacinação e revacinação em massa, é feita uma análise qualitativa do modelo determinando seus pontos de equilíbrios e a estabilidade destes pontos.

References

[1] J.E. Cradock-Watson, M.K.S. Ridehalgh, M.J. Anderson e J.R. Pattison, Rubella reinfection and the fetus, The Lancet, 1039, (1985).

W.H. Hamer, Epidemic Disease in England, The Lancet, (1906), 733-739.

H.M. Yang, Mathematical Modeling of the Infectious Diseases considering the Re-infection and the vaccine failures, em “Mathematical Modelling & Computing in Biology and Medicine”, ESMTB 5thConference, Milano, Italy, 2002.

E. Massad, M.N. Burattini, R.S. Azevedo-Neto, H.M. Yang, D.M.T. Zanetta e F.A.B. Coutinho, A model-based design of a vaccination strategy against rubella in a non-immunized community of São Paulo State, Brazil, Epidemiol. Infect., 112 (1994), 579-594.

P. Morgan-Capner, C. Burgess, R.M. Ireland e J.C. Sharp, Clinically apparent rubella reinfection with a detectable rubella specific IgM response, BMJ, 286 (1983), 1616.

S.M. Raimundo, E. Massad e R.S. Azevedo Neto, The impact of reinfection on the control of rubella: a mathematical model approach, em “Abstracts of the 8th International Congress on Infectious Diseases”, p. 212, Boston, Massachusets, U.S.A., May, 1998.

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Published

2003-06-01

How to Cite

Raimundo, S., & Yang, H. (2003). Um Modelo Matemático da Reinfecção da Rubéola. Trends in Computational and Applied Mathematics, 4(3), 367–376. https://doi.org/10.5540/tema.2003.04.03.0367

Issue

Vol. 4 No. 3 (2003)

Section

Original Article

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