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. 1974;50(5):449–457.

A critical review of the field application of a mathematical model of malaria eradication

J A Nájera
PMCID: PMC2481134  PMID: 4156197

Abstract

A malaria control field research trial in northern Nigeria was planned with the aid of a computer simulation based on Macdonald's mathematical model of malaria epidemiology. Antimalaria attack was based on a combination of mass drug administration (chloroquine and pyrimethamine) and DDT house spraying. The observed results were at great variance with the predictions of the model. The causes of these discrepancies included inadequate estimation of the model's basic variables, and overestimation, in planning the simulation, of the effects of the attack measures and of the degree of perfection attainable by their application. The discrepancies were to a great extent also due to deficiencies in the model. An analysis is made of those considered to be the most important. It is concluded that research efforts should be encouraged to increase our knowledge of the basic epidemiological factors, their variation and correlations, and to formulate more realistic and useful theoretical models.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Bruce-Chwatt L. J., Garrett-Jones C., Weitz B. Ten years' study (1955-64) of host selection by anopheline mosquitos. Bull World Health Organ. 1966;35(3):405–439. [PMC free article] [PubMed] [Google Scholar]
  2. Bruce-Chwatt L. J. Quantitative epidemiology of tropical diseases. Trans R Soc Trop Med Hyg. 1969;63(1):131–143. doi: 10.1016/0035-9203(69)90100-x. [DOI] [PubMed] [Google Scholar]
  3. Bull C. G. THE MECHANISM OF THE CURATIVE ACTION OF ANTIPNEUMOCOCCUS SERUM. J Exp Med. 1915 Oct 1;22(4):457–464. doi: 10.1084/jem.22.4.457. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. DAVIDSON G., DRAPER C. C. Field studies of some of the basic factors concerned in the transmission of malaria. Trans R Soc Trop Med Hyg. 1953 Nov;47(6):522–535. doi: 10.1016/s0035-9203(53)80005-2. [DOI] [PubMed] [Google Scholar]
  5. DAVIDSON G. Estimation of the survivalrate of anopheline mosquitoes in nature. Nature. 1954 Oct 23;174(4434):792–793. doi: 10.1038/174792a0. [DOI] [PubMed] [Google Scholar]
  6. DAVIDSON G. Further studies of the basic factors concerned in the transmission of malaria. Trans R Soc Trop Med Hyg. 1955 Jul;49(4):339–350. doi: 10.1016/0035-9203(55)90056-0. [DOI] [PubMed] [Google Scholar]
  7. DETINOVA T. S., GILLIES M. T. OBSERVATIONS ON THE DETERMINATION OF THE AGE COMPOSITION AND EPIDEMIOLOGICAL IMPORTANCE OF POPULATIONS OF ANOPHELES GAMBIAE GILES AND ANOPHELES FUNESTUS GILES IN TANGANYIKA. Bull World Health Organ. 1964;30:23–28. [PMC free article] [PubMed] [Google Scholar]
  8. DRAPER C. C., DAVIDSON G. A new method of estimating the survival-rate of anopheline mosquitoes in nature. Nature. 1953 Sep 12;172(4376):503–503. doi: 10.1038/172503a0. [DOI] [PubMed] [Google Scholar]
  9. GARRETT-JONES C., GRAB B. THE ASSESSMENT OF INSECTICIDAL IMPACT ON THE MALARIA MOSQUITO'S VECTORIAL CAPACITY, FROM DATA ON THE PROPORTION OF PAROUS FEMALES. Bull World Health Organ. 1964;31:71–86. [PMC free article] [PubMed] [Google Scholar]
  10. Garrett-Jones C., Shidrawi G. R. Malaria vectorial capacity of a population of Anopheles gambiae: an exercise in epidemiological entomology. Bull World Health Organ. 1969 Apr;40(4):531–545. [PMC free article] [PubMed] [Google Scholar]
  11. Gillies M. T., Wilkes T. J. A study of the age-composition of populations of Anopheles gambiae Giles and A. funestus Giles in North-Eastern Tanzania. Bull Entomol Res. 1965 Dec;56(2):237–262. doi: 10.1017/s0007485300056339. [DOI] [PubMed] [Google Scholar]
  12. Goffman W., Harmon G. Mathematical approach to the prediction of scientific discovery. Nature. 1971 Jan 8;229(5280):103–104. doi: 10.1038/229103a0. [DOI] [PubMed] [Google Scholar]
  13. HAMON J. [Study of the physiological age of Anopheles females in DDT-treated and non-treated areas of the Bobo-Dioulasso district, Haute-Volta]. Bull World Health Organ. 1963;28(1):83–109. [PMC free article] [PubMed] [Google Scholar]
  14. JEFFERY G. M., EYLES D. E. The duration in the human host of infections with a Panama strain of Plasmodium falciparum. Am J Trop Med Hyg. 1954 Mar;3(2):219–224. doi: 10.4269/ajtmh.1954.3.219. [DOI] [PubMed] [Google Scholar]
  15. Lepes T. Discussion of contemporary malaria research needs as reflected in the symposium. Am J Trop Med Hyg. 1972 Sep;21(5):837–838. doi: 10.4269/ajtmh.1972.21.837. [DOI] [PubMed] [Google Scholar]
  16. Lepes T. Research related to malaria. A review of achievements and further needs. Am J Trop Med Hyg. 1972 Sep;21(5):640–647. doi: 10.4269/ajtmh.1972.21.640. [DOI] [PubMed] [Google Scholar]
  17. MACDONALD G., GOECKEL G. W. THE MALARIA PARASITE RATE AND INTERRUPTION OF TRANSMISSION. Bull World Health Organ. 1964;31:365–377. [PMC free article] [PubMed] [Google Scholar]
  18. MACDONALD G. The analysis of malaria parasite rates in infants. Trop Dis Bull. 1950 Oct;47(10):915–938. [PubMed] [Google Scholar]
  19. MACDONALD G. The analysis of the sporozoite rate. Trop Dis Bull. 1952 Jun;49(6):569–586. [PubMed] [Google Scholar]
  20. MCGREGOR I. A. CONSIDERATION OF SOME ASPECTS OF HUMAN MALARIA. Trans R Soc Trop Med Hyg. 1965 Mar;59:145–152. doi: 10.1016/0035-9203(65)90075-1. [DOI] [PubMed] [Google Scholar]
  21. Macdonald G., Cuellar C. B., Foll C. V. The dynamics of malaria. Bull World Health Organ. 1968;38(5):743–755. [PMC free article] [PubMed] [Google Scholar]
  22. Moskovsku S. D. A further contribution to the theory of malaria eradication. Bull World Health Organ. 1967;36(6):992–996. [PMC free article] [PubMed] [Google Scholar]
  23. PETERS W. Studies on the epidemiology of malaria in New Guinea. Part III. Holoendemic malaria--analysis of data and relation to control. Trans R Soc Trop Med Hyg. 1960 May;54:254–260. doi: 10.1016/0035-9203(60)90070-5. [DOI] [PubMed] [Google Scholar]
  24. VERDRAGER J. OBSERVATIONS ON THE LONGEVITY OF PLASMODIUM FALCIPARUM: WITH SPECIAL REFERENCE TO FINDINGS IN MAURITIUS. Bull World Health Organ. 1964;31:747–751. [PMC free article] [PubMed] [Google Scholar]

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