Mathematical modelling and control of Schistosomiasis in Hubei Province, China

Acta Tropica

Volumn 115, Issue 1-2, 2010, Pages 119-125

  Chen, Zimin ^a   Zou, Lan ^b   Shen, Dingwen ^a   Zhang, Weinian ^b   Ruan, Shigui ^c  

^a HUBEI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b SICHUAN UNIVERSITY   (China)

^c University of Miami   (United States)

Author keywords

Basic reproduction number; Disease free equilibrium; Mathematical model; Schistosomiasis; Stability

Indexed keywords

CATTLE; DISEASE TRANSMISSION; ENVIRONMENTAL FACTOR; HABITAT; NUMERICAL MODEL; POPULATION DENSITY; SCHISTOSOMIASIS; SENSITIVITY ANALYSIS; SNAIL;

ARTICLE; CATTLE; CHINA; COMPUTER SIMULATION; CONTROLLED STUDY; ENDEMIC DISEASE; ENVIRONMENTAL FACTOR; LAKE; MARSH; MATHEMATICAL MODEL; NONHUMAN; PARASITE CONTROL; PARASITE TRANSMISSION; SCHISTOSOMA JAPONICUM; SCHISTOSOMIASIS; SENSITIVITY ANALYSIS; SNAIL;

ANIMALS; BASIC REPRODUCTION NUMBER; CATTLE; CATTLE DISEASES; CHINA; ENDEMIC DISEASES; HUMANS; MODELS, THEORETICAL; SCHISTOSOMA JAPONICUM; SCHISTOSOMIASIS JAPONICA; SNAILS;

ANHUI; CHINA; HUBEI; HUNAN; JIANGSU; JIANGXI; YANGTZE RIVER;

BOS; GASTROPODA; SCHISTOSOMA JAPONICUM;

EID: 77953027866     PISSN: 0001706X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actatropica.2010.02.012     Document Type: Article

References (24)

1. Allen E.J., Victory H.D. Modelling and simulation of a schistosomiasis infection with biological control. Acta Trop. 2003, 87:251-267.
2. Barbour A.D. Macdonald's model and the transmission of bilharzia. Trans. R. Soc. Trop. Med. Hyg. 1978, 72:6-15.
3. Barbour A.D. Modeling the transmission of schistosomiasis: an introductory view. Am. J. Trop. Med. Hyg. 1996, 55(Suppl.):135-143.
4. Blower S.M., Dowlatabadi H. Sensitivity and uncertainty analysis of complex models of disease transmission: an HIV model, as an example. Int. Stat. Rev. 1994, 62:229-243.
5. Chen M.G., Feng Z. Schistosomiasis control in China. Parasitol. Int. 1999, 48:11-19.
6. Cohen J.E. Mathematical models of schistosomiasis. Ann. Rev. Ecol. Syst. 1977, 8:209-233.
7. Diekmann O., Heesterbeek J.A.P., Metz J.A.J. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 1990, 28:365-382.
8. Feng Z.L., Li C.C., Milner F.A. Schistosomiasis models with two migrating human groups. Math. Comput. Model. 2005, 41:1213-1230.
9. Gray, D.J., Williams, G.M., Li, Y., McManus, D.P. Transmission dynamics of Schistosoma japonicum in the lakes and marshlands of China. PLoS One 3 (12), e4058. doi:10.1371/journal.pone.0004058.
10. Liang S., Maszle D., Spear R.C. A quantitative framework for a multi-group model of Schistosoma japonicum transmission dynamics and control in Sichuan, China. Acta Trop. 2002, 82:263-277.
11. Liang S., Seto E.Y.W., Remais J.V., Zhong B., Yang C.H., Hubbard A., Davis G.M., Gu X.G., Qiu D.C., Spear R.C. Environmental effects on parasitic disease teansmission exemplified by schistosomiasis in western China. Proc. Natl. Acad. Sci. U.S.A. 2007, 104:7110-7115.
12. Macdonald G. The dynamics of helminth infections, with special reference to schistosomes. Trans. Roy. Soc. Trop. Med. Hyg. 1965, 59:489-506.
13. May R.M. Togetherness among schistosomes: its effects on the dynamics of the infection. Math. Biosci. 1977, 35:301-343.
14. Nåsell I., Hirsch W.M. The transmission dynamics of schistosomiasis. Comm. Pure Appl. Math. 1973, 26:395-453.
15. Sun C., Yu B., Liao H., Dai Y., Xu X., Zhu H., Jiang Y. Achievement of the World Bank Loan Project on schistosomiasis control in Hubei province and the challenge in the future. Acta Trop. 2002, 82:169-174.
16. Utzinger J., Zhou X.-N., Chen M.-G., Bergquist R. Conquering schistosomiasis in China: the long march. Acta Trop. 2005, 96:69-96.
17. van den Driessche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 2002, 180:29-48.
18. Williams G.M., Sleigh A.C., Li Y., Feng Z., Davis G.M., Chen H., Ross A.G.P., Bergquist R., McManus D.P. Mathematical modelling of schistosomiasis japonica: comparison of control strategies in the People's Republic of China. Acta Trop. 2002, 82:253-262.
19. Woolhouse M.E.J. On the application of mathematical models of schistosome transmission dynamics. I. Natural transmission. Acta Trop. 1991, 49:241-270.
20. Woolhouse M.E.J. On the application of mathematical models of schistosome transmission dynamics. I. Control. Acta Trop. 1992, 50:189-204.
21. Woolhouse M.E.J. Mathematical models of transmission dynamics and control of schistomiasis. Am. J. Trop. Med. Hyg. 1996, 55:144-148.
22. Zheng J., Gu X.-G., Xu Y.-L., Ge J.-H., Yang X.-X., He C.-H., Tang C., Cai K.-P., Jiang Q.-W., Liang Y.-S., Wang T.-P., Xu X.-J., Zhong J.-H., Yuan H.-C., Zhou X.-N. Relationship between the transmission of Schistosomiasis japonica and the construction of the Three Gorge Reservoir. Acta Tropica 2002, 82:147-156.
23. Zhou X.-N., Wang L.-Y., Chen M.-G. The public health significance and control of schistosomiasis in China-then and now. Acta Trop. 2005, 96:97-105.
24. Zhou X.-N., Guo J.-G., Wu X.H., Jiang Q.-W., Zheng J., Dang H., Wang X.-H., Xu J., Zhu H.-Q., Wu G.-L., Li Y.-S., Xu X.-J., Chen H.-G., Wang T.-P., Zhu Y.-C., Qiu D.-C., Dong X.-Q., Zhao G.-M., Zhang S.-J., Zhao N.-Q., Xia G., Wang L.-Y., Zhang S.-Q., Lin D.-D., Chen M.-G., Hao Y. Epidemiology of schistosomiasis in the People's Republic of China. Emerg. Infect. Dis. 2007, 13:1470-1476.