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On the Role of Schistosome Mating Structure in the Maintenance of Drug-resistant Strains

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Abstract

The effects of drug treatment of human hosts on a population of schistosome parasites depends on a variety of factors. Previous models have shown that multiple strains of drug-resistant parasites are likely to be favored as the treatment rate increases. However, such models have neglected to account for the complex nature of schistosome mating biology. To more accurately account for the biology of these parasites, a simple mating structure is included in a multi-strain schistosome model, with parasites under the influence of drug treatment of their human hosts. Parasites are assumed to pay a cost for drug resistance in terms of reduced reproduction and transmission. The dynamics of the parasite population are described by a system of homogeneous differential equations, and the existence and stability of the exponential solutions for this system are used to infer the impact of drug treatment on the maintenance of schistosome genetic diversity.

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References

  • Castillo-Chavez, C., Hnang, W., Li, J., 1996. On the existence of stable pairing distributions. J. Math. Biol. 34, 413–441.

    Article  MATH  MathSciNet  Google Scholar 

  • Castilio-Chavez, C., Huang, W., Li, J., 1999. Competitive exclusion and coexistence of multiple strains in an SIS STD model. SIAM J. Appl. Math. 59, 1790–1811.

    Article  MathSciNet  Google Scholar 

  • Chitsulo, L., Engels, D., Montresor, A.,Savioli, L., 2000. The global status of schistosomiasis and its control. Acta Trop. 77, 41–51.

    Article  PubMed  Google Scholar 

  • Feng, Z., Curtis, J., Minchella, D.J., 2001. The influence of drug treatment on the maintenance of schistosome genetic diversity. J. Math. Bio. 43. 52–68.

    Article  MATH  MathSciNet  Google Scholar 

  • Feng, Z., Li, C.-C., Milner, F.A., 2002. Schistosomiasis models with density dependence and age of infection in shail dynamics. Math. Biosci. 177–178, 271–286.

    Article  MathSciNet  Google Scholar 

  • Fenwick, A., Savioli, L., Engels, D., Bergquist, N.R., Todd, M.H., 2003. Drugs for the control of parasitic disease: Current status and development in schistosomiasis. Trends Parasitol. 19, 509–515.

    Article  PubMed  Google Scholar 

  • Gryseels, B., de Vlas, S.J., 1996. Worm burdens in schistosome infections. Parasitol. Today 123, 115–119.

    Article  PubMed  Google Scholar 

  • Hadeler, K.P., Waldstatter, R., Worz-Busekos, A., 1988. Models for pair formation in bisexual populations. J. Math. Biol. 26, 635–649.

    PubMed  MATH  MathSciNet  Google Scholar 

  • Hadeler, K.P., 1989. Pair formation in age structured populations. In: Kurzhanski, A., Sigmund, K. (Eds.), Proceedings of the Workshop on Selected Topics in Biomathematics, HASA, Laxenburg, Austria. Acta. Appl. Math. 14, 91–102.

  • Hadeler, K.P., Ngoma, K., 1990. Homogeneous models for sexually transmitted diseases. Rocky Mount. J. Math. 20, 967–986.

    Article  MATH  MathSciNet  Google Scholar 

  • Ismail, M., Botros, S., Metwally, A., William, S., Farghally, A., Tao, L., Day, T.A., Bennett, J.L., 1999. Resistance to praziquantal: Direct evidence from Schistosoma mansoni isolated from Egyptian villagers. Am. Soc. Trop. Med. Hyg. 60, 932–935.

    Google Scholar 

  • Pollard, J.H., 1973. The two sex problem. In: Mathematical Models for The Growth of Human Populations. Cambridge University Press, Cambridge, Chapter 7.

  • WHO, 2004. Schistomiasis, http://www.who.int/tdr/dw/schisto2004.htm.

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Correspondence to Zhilan Feng.

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Xu, D., Curtis, J., Feng, Z. et al. On the Role of Schistosome Mating Structure in the Maintenance of Drug-resistant Strains. Bull. Math. Biol. 68, 209–229 (2006). https://doi.org/10.1007/s11538-005-9001-3

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  • DOI: https://doi.org/10.1007/s11538-005-9001-3

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