Modelo Epidemiológico SEIR de Transmissão da Dengue em Redes de Populações Acopladas

Authors

  • S. Cirino
  • J.A.L. da Silva

DOI:

https://doi.org/10.5540/tema.2004.05.01.0055

Abstract

Este trabalho visa ilustrar os fundamentos teóricos utilizados na simula ção do modelo determinístico (SEIR) de transmissão da dengue proposto por Newton e Reiter [6] associado ao modelo proposto por Jansen e Lloyd [4] para sistemas “multi-patch”com o intuito de investigar o efeito da migração em redes de populações acopladas.

References

[1] R.M. Anderson e R.M. May, “Infectious Diseases of Humans - Dynamics and Control”, Oxford University Press Inc., New York, 1991.

R.L. Burden e J.D. Faires, “Análise Numérica”, Thomson , São Paulo, 2003.

C. Dye, Models for the Population Dynamics of the Yellow Fever Mosquito, Aedes Aegypti, Journal of Animal Ecology, 53 (1984), 247-268.

V.A.A. Jansen e A.L. Lloyd , Local stability analysis of spatially homogeneous solutions of multi-patch systems, Mathematical Biology, (2000), 232-252.

P. Lancaster e M. Tismenetsky, “The teory of matrices - Second edition with applications”, Academic Press, Orlando, Florida, 1985.

E.A.C. Newton e P. Reiter, A model of the transmission of dengue fever with an evaluation of the impact of Ultra-Low Volume (ULV) insecticide applications on dengue epidemics, The American Society of Tropical Medicine and Hygiene, 47, No. 6 (1992), 709-720.

P.M. Sheppard, W.W. MacDonald, R.J. Tonn e B. Grab, The Dynamics of an Adult Population of Aedes Aegypti in Relation to Dengue Haemorrhagic Fever in Bangkoch, Journal of Animal Biology, 38 (1969), 661-702.

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Published

2004-06-01

How to Cite

Cirino, S., & da Silva, J. (2004). Modelo Epidemiológico SEIR de Transmissão da Dengue em Redes de Populações Acopladas. Trends in Computational and Applied Mathematics, 5(1), 55–64. https://doi.org/10.5540/tema.2004.05.01.0055

Issue

Vol. 5 No. 1 (2004)

Section

Original Article

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