On the role of schistosome mating structure in the maintenance of drug-resistant strains

Bulletin of Mathematical Biology

Volumn 68, Issue 2, 2006, Pages 209-229

  Xu, Dashun ^a   Curtis, Jason ^b   Feng, Zhilan ^a   Minchella, Dennis J ^a  

^a PURDUE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY CALUMET   (United States)

Author keywords

Drug resistance; Homogeneous equations stability; Multiple strains; Schistosome mating structure

Indexed keywords

SCHISTOSOMA;

ANTISCHISTOSOMAL AGENT;

ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; DISEASE TRANSMISSION; DRUG EFFECT; DRUG RESISTANCE; FEMALE; GENETICS; HUMAN; MALE; POPULATION DYNAMICS; REPRODUCTION; SCHISTOSOMA; SCHISTOSOMIASIS;

ALGORITHMS; ANIMALS; DRUG RESISTANCE; FEMALE; HUMANS; MALE; MODELS, BIOLOGICAL; POPULATION DYNAMICS; REPRODUCTION; SCHISTOSOMA; SCHISTOSOMIASIS; SCHISTOSOMICIDES;

EID: 33746618864     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-005-9001-3     Document Type: Article

References (13)

1. Castillo-Chavez, C., Hnang, W., Li, J., 1996. On the existence of stable pairing distributions. J. Math. Biol. 34, 413-441.
2. 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.
3. Chitsulo, L., Engels, D., Montresor, A.,Savioli, L., 2000. The global status of schistosomiasis and its control. Acta Trop. 77, 41-51.
4. 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.
5. 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.
6. 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.
7. Gryseels, B., de Vlas, S.J., 1996. Worm burdens in schistosome infections. Parasitol. Today 12(3), 115-119.
8. Hadeler, K.P., Waldstatter, R., Worz-Busekos, A., 1988. Models for pair formation in bisexual populations. J. Math. Biol. 26, 635-649.
9. 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.
10. Hadeler, K.P., Ngoma, K., 1990. Homogeneous models for sexually transmitted diseases. Rocky Mount. J. Math. 20, 967-986.
11. 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.
12. Pollard, J.H., 1973. The two sex problem. In: Mathematical Models for The Growth of Human Populations. Cambridge University Press, Cambridge, Chapter 7.
13. WHO, 2004. Schistomiasis, http://www.who.int/tdr/dw/schisto2004.htm.