Worm’s sexuality and special function theory

  • J. P. Gabriel
  • Herman Hanisch
  • Warren M. Hirsch
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 86)


The work described here concerns some mathematical questions related to parasitology. It has its roots in a paper by Macdonald (1965) on helminthic infections where the author stresses the importance of the parasite’s sexuality in its transmission dynamics. Anyone who wants to capture quantitatively the life-cycle of a parasite has to deal, at some point, with its reproductive strategy. More precisely, it is impossible to avoid computation of the number of fertilized eggs if one wants to get an estimate of the parasite’s progeny. Assuming homogeneity, in the case of helminthic infections the quantity of interest will be proportional to the number of ovipositing worms.


Definitive Host Helminth Infection Worm Burden Parasitic Worm Helminthic Infection 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • J. P. Gabriel
    • 1
  • Herman Hanisch
    • 2
  • Warren M. Hirsch
    • 3
    • 4
  1. 1.Institute of MathematicsUniversity of FribourgFribourgSwitzerland
  2. 2.City CollegeCity University of New YorkNew YorkUSA
  3. 3.The Mount Sinai Medical CenterMount Sinai School of Medicine Department of Biomathematical SciencesNew YorkUSA
  4. 4.Courant InstituteNew York UniversityNew YorkUSA

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