Parasites and Their Diseases

  • Ronald W. Shonkwiler
  • James Herod
Part of the Undergraduate Texts in Mathematics book series (UTM)


In the first section of this chapter, we survey and briefly describe the parasites important to humans and the diseases they engender. In Section 11.2, we detail the life cycle of the parasites responsible for malaria. While there are four species of mosquitoes involved, the biggest threat is from P. falciparum. Next, we have a look at the complex interactions between parasites and their human hosts with an eye on potential lines of control of parasitic diseases. And in the last section, we introduce a mathematical model for malaria. The exercises invite the reader to use the model to explore some epidemiological scenarios for malaria.


Intermediate Host Blood Meal Parasitic Disease Protozoan Parasite Mass Drug Administration 
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References and Suggested Further Reading

  1. [1]
    J. L. Aron, Dynamics of acquired immunity boosted by exposure to infection, Math. Biosci., 64 (1983), 249–259.MATHCrossRefGoogle Scholar
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    J. L. Aron and R. M. May, The population dynamics of malaria, in R. M. Anderson, ed., Population Dynamics of Infectious Disease, Chapman and Hall, London, 1982, 139–179.Google Scholar
  3. [3]
    N. T. J. Bailey, The Biomathematics of Malaria, Charles Griffin and Company, London, 1982.MATHGoogle Scholar
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    D. D. Despommier, R. W. Gwadz, and P. J. Hotez, Parasitic Diseases, 3rd ed., Springer-Verlag, Berlin, New York, Heidelberg, 1994.Google Scholar
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    J. A. Jacquez and C. P. Simon, Qualitative theory of compartmental systems, SIAM Rev., 35–1 (1993), 43–79.MATHCrossRefMathSciNetGoogle Scholar
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    L. Molineaux and G. Gramiccia, The Garki Project, World Health Organization, Geneva, 1980.Google Scholar
  7. [7]
    G. Taubes, Malarial dreams, Discover, 109 (1998), 108–116.Google Scholar
  8. [8]
    D. B. Wilson, Rural hyperendemic malaria in Tanganyika territory, Trans. Roy. Soc. Tropical Med. Hygiene, 29 (1936), 583–618.CrossRefGoogle Scholar
  9. [9]
    Division of Control of Tropical Diseases, World Health Organization, Geneva, April, 1997; available online from
  10. [10]
    Disease Control Unit, Enugu State, Nigeria Health Management Board, Enugu, Nigeria, 1995 (unpublished).Google Scholar

Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA

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