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Malaria prevalence amongst Brazilian Indians assessed by a new mathematical model

  • M. N. Burattini (a1) (a2), E. Massad (a1), F. A. B. Coutinho (a3) and R. G. Baruzzi (a4)

Summary

An alternative way to estimate the endemic level of malaria amongst Brazilian indians is proposed. This is achieved by estimating the age-related “force of infection’ of malaria (the effective inoculation rate), applying a mathematical model, described elsewhere, to serological data. In addition we present a way to estimate the Basic Reproductive Rate of malaria in the same area. The results have shown a good degree of accuracy in describing the endemic pattern of malaria in the area, and also indicate some relevant aspects of its age distribution related to the design of control strategies.

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References

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1.Ross, R. The prevention of malaria, 2nd ed. London: John Murray, 1911.
2.Macdonald, G. The epidemiology and control of malaria. London: Oxford University Press. 1957.
3.Molineaux, L. The epidemiology of human malaria as an explanation of its distribution, including some implication for its control. In: Wenrsdorfer, WH, McGregor, I, eds. Malaria: principles and practice of malariology. Edinburgh, London, Melbourne, New York: Churchill Livingston, 1988: 913–98.
4.Bruce-Chwatt, LJ. Quantitative epidemiology of tropical diseases. Trans Roy Soc Trop Med Hyg 1969; 63: 131–43.
5.Bruce-Chwatt, LJ. Essential malariology, 2nd ed. London: William Heinemann Medical Books, 1985.
6.Ross, R. Studies in malaria. London: John Murray, 1928.
7.Macdonald, G. The analysis of sporozoite rate. Trop Dis Bull 1952; 49: 569–85.
8.Macdonald, G. The analysis of equilibrium in malaria. Trop Dis Bull 1952; 49: 813–28.
9.Macdonald, G. The measurement of malaria transmission. Proc Roy Soc Med 1955; 48: 295301.
10. Committee of Experts on Malaria. Malarial Conference in Equatorial Africa. Technical Report WHO/MAL/38. Kampala: World Health Organization, 1951.
11.Meetselaar, D, Van Thiel, P. Classification of malaria. Trop Geogr Med 1959; 11: 157–61.
12.Burattini, MN, Contribuicao para o estudo da dinamica da transmissao de malaria a partir de inquerito soroepidemiologico transversal. Apresentacao de um novo model de analise matematica para estimar indices malariometricos. [Doctor Degree Thesis]. São Paulo, São Paulo: Escola Paulista de Medicina, 1989.
13.Burattini, MN, Massad, E, Coutinho, FAB. Malarial transmission rates estimated from serological data. Epidemiol Infect 1993; 111: 503523.
14.Draper, CC, Voller, A, Carpenter, RG. The epidemiologic interpretation of serologic data in malaria. Am J Trop Med Hyg 1972; 21: 696703.
15.Van Druten, JAM. A mathematical-statistical model for the analysis of cross-sectional serological data with special reference to the epidemiology of malaria. A methodology for detection of change in the trend of transmission. [PhD Thesis]. Nijmegen. Nederlands: The Katholiek Universiteit, 1981.
16.Muench, H. Catalytic models in epidemiology. Cambridge, Massachusetts: Harvard University Press, 1959.
17.Papoulis, A. Probability, random variables and stochastic processes. International students edition. Tokyo: McGraw-Hill, 1981.
18.Dietz, K. Mathematical models for transmission and control of malaria. In: Wenrsdorfer, WH, McGregor, I, eds. Malaria: principles and practice of malariology. Edinburgh, London, Melbourne, New York: Churchill-Livingstone, 1988: 1091–133.
19.Burattini, MN. Epidemiologia da malaria no parque indigena do Xingu. Avaliacao de um novo metodo de analise matematica para dados sorologicos. [Master Degree Thesis]. São Paulo, São Paulo: Escola Paulista de Medicina, 1987.
20.Burattini, MN, Baruzzi, RG, Wucker, S. Impact of DDT spraying in malaria transmission at an Indian reservation in central Brazil. Proceedings of the International Congress for Infectious Diseases. Rio de Janeiro: International Society for Infectious Diseases, 1988: 153.
21.Burattini, MN, Baruzzi, RG, Sanchez-Ruiz, MCA, Castelo, A, Wey, SB. Comparaçao entre indice esplenico e sorologia como indices malariometricos na area do Baixo Xingu. Rev Soc Bras Med Trop 1986; 19 (suppl): 88.
22.Burattini, MN, Tanaka, N, Baruzzi, RG, Turcato, G, Acceturi, CA. Epidemia de malaria entre os indios Txucarramae, parque indigena do Xingu, Brasil Central. Rev Soc Bras Med Trop 1986; 19 (suppl): 88.
23.Guthe, T, Vaisman, A, Paris-Hamelin, A. La technique des anticorps fluorescents pratiquée sur sang desséché et élué. Bull WHO 1964; 31: 8794.
24.Sulzer, AJ, Wilson, M, Hall, EC. Indirect fluorescent antibody tests for parasitic diseases. V. An evaluation of a thick-smear antigen in the IFA test for malaria antibodies. Am J Trop Med Hyg 1969; 18: 199285.
25.Turner, PR. Numerical analysis. London: Macmillan Education Ltd, 1989.
26.Macdonald, G, Cuellar, CB, Foll, CV. The dynamics of malaria. Bull WHO 1968; 38: 743–55.
27.Macdonald, G. The analysis of malaria epidemics. Trop Dis Bull 1953; 50: 871–89.
28.Wernsdorfer, WH, McGregor, I, eds. Malaria: principles and practice of malariology. Edinburgh, London, Melbourne and New York: Churchill-Livingstone, 1988.
29.Molineaux, L, Muir, DA, Spencer, HC, Wernsdorfer, WH. The epidemiology of malaria and its measurements. In: Wenrsdorfer, WH, McGregor, I, eds. Malaria: principles and practice of malariology. Edinburgh, London, Melbourne, New York: Churchill-Livingstone, 1988: 9991089.
30.Picq, JJ. Epidémiologie due paludisme. Premiére endémie mondiale. Med Trop (Mars) 1982; 42: 365–81.
31. Comite de Expertos de la OMS en Paludismo. Informes Tecnicos no. 16549: Organizacion Mundial de la Salud, 1974.
32. Comite de Expertos de la OMS en Paludismo. Informes Tecnicos no. 17640: Organizacion Mundial de la Salud, 1979.

Malaria prevalence amongst Brazilian Indians assessed by a new mathematical model

  • M. N. Burattini (a1) (a2), E. Massad (a1), F. A. B. Coutinho (a3) and R. G. Baruzzi (a4)

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