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

S. Cirino, J.A.L. da Silva

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.




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

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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