Modelo Matemático para Descrever Transmissão de Leishmaniose

Authors

  • J.C. Rosales
  • H.M. Yang

DOI:

https://doi.org/10.5540/tema.2006.07.02.0337

Abstract

Analisa-se um modelo compartimental para a transmisão de Leishmaniose que contempla o homem, cão e Lutzomyia como hospedeiros vertebrados e invertebrado, respetivamente. Deriva-se a expressão do número de reprodutibilidade basal. Estuda-se a estabilidade. Aplica-se o mesmo para simular a situação de zonas endêmicas no Estado de São Paulo.

References

[1] V.L.F. Camargo-Neves, A Leishmaniose Visceral Americana no Estado de São Paulo: Situação Atual, Boletim Epidemiológico Paulista, 6 (2004), s/n (http://www.cve.saude.sp.gov.br/agencia/bepa6−lva.htm).

L. Edelstein-Keshet, “Mathematical Models in Biology”, McGraw-Hill, Inc., New York, 1988.

M.B.F. Leite, R.C. Bassanezi, H.M. Yang, The Basic Reproduction Ratio for Model of Directly Transmitted Infections Considering The Virus Chargue and Immunological Response, IMA J Math Appl Med Biol, 17, No. 3 (2000), 15-31.

D.H. Molyneux, R.W. Ashford, “The Biology of Tripanosoma and Leishmania. Parasites of Man and Domestic Animals”, International Publications Service, 1983.

J.D. Murray, “Mathematical Biology I: An Introduction”, Ed. Springer, 1993.

D.P. Neves, “Parasitologia Humana”, 10a Ed., Atheneu, 2000.

Site WHO. TDR. http://www.who.int/tdr/, acesso em Março/2005.

H.M.Yang, M. Ferreira, Malaria Transmission Model for Different Levels of Acquired Immunity and Temperature-dependente Parameters (Vector), Rev. Saúde Pública, 34, No. 3 (2000), 223-231.

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Published

2006-06-01

How to Cite

Rosales, J., & Yang, H. (2006). Modelo Matemático para Descrever Transmissão de Leishmaniose. Trends in Computational and Applied Mathematics, 7(2), 337–346. https://doi.org/10.5540/tema.2006.07.02.0337

Issue

Vol. 7 No. 2 (2006)

Section

Original Article

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