Worm’s sexuality and special function theory
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.
KeywordsTrop Schistosomiasis cosB
Unable to display preview. Download preview PDF.
- Abramowitz, M. and Stegun, I.A., "Handbook of Mathematical Functions," Dover, New York, 1972.Google Scholar
- Gabriel, J.P., Hanisch, H. and Hirsch, W.M., Dynamic Equilibria of Helminthic Infections? Quantitative Population Dynamics; D.G. Chapman and V.F. Galluci (eds.), Statistical Ecology Series13 (1981), 84-104, International Cooperative Pub!. House, Maryland.Google Scholar
- Gabriel, J.P., Hanisch, H. and Hirsch, W.M, W.M., “Prepatency and sexuality of parasitic worms: the hermaphroditic case,” CERFIM Research Center, Locamo, 1989.Google Scholar
- Pellegrinelli, A., Reproduction des vers parasites: le gonochorisme parfait pour Ia loi biniimiale, Cahier de l'Universite de Geneve (janvier 1989 ).Google Scholar
- Titchmarsh, E.C., “The theory of functions,” 2nd edition, Oxford University Press, 1968. -Young, W.H., “The fundamental theorems of the differential calculus,” Hafner Publishing Co, New York, 1971.Google Scholar