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Models for Vector-Borne Parasitic Diseases

  • K. Dietz
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 39)

Abstract

There are several reasons for concentrating on the class of vector-borne diseases from a modelling point of view:
  1. 1)

    They still figure among the health problems of highest priority in most countries outside Europe, North America and Australia;

     
  2. 2)

    They require specialized measures for prevention which are mostly directed against the vector populations with an aim to reduce contact between humans or contacts between the reservoir population(s) and humans;

     
  3. 3)

    The factors which regulate their transmission are usually known qualitatively so that dynamic modelling has a sound basis to start from;

     
  4. 4)

    Many quantitative problems have to be solved before alternative methods for prevention and control (already existing or to be developed) can be evaluated in a rational way.

     

Keywords

Breeding Site Parasite Density Inoculation Rate Contact Rate Parasite Population 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Barbour, A.D. (1978). Macdonald’s model and the transmission of bilharzia. Trans. Roy. Soc. Trop, Med. Eyg., 72, 6–15.Google Scholar
  2. Dietz, K. (1975). Epidemiological models. Working Paper of the Expert Committee on Epidemiology of Onchocerciasis, ONCHO/WP/75. 31, 1–3.Google Scholar
  3. Dietz, K . etal. (1974). A malaria model tested in the African savannah. Bull. Wld Hlth Org., 50, 347–57Google Scholar
  4. Elderkin, R.H. et al. (1977). On the steady state of an age dependent model for malaria.In Nonlinear systems and applications. An International Conference. V. Lakshmikantham, ed., Academic Press, New York, 491–512.Google Scholar
  5. Fine, P.E.M. (1975). Superinfection - A problem in formulating a problem. Trop. Dis. Bull., 72/ 475–488.Google Scholar
  6. Macdonald, G . (1950). The analysis of infection rates in diseases in which superinfection occurs. Trop. dis. Bull., 47, 907–15Google Scholar
  7. Ross, R. (1911). The prevention of malaria. 2nd edition. John Murray, London.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Authors and Affiliations

  • K. Dietz
    • 1
  1. 1.Tübingen UniversityGermany

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