Table of Contents Author Guidelines Submit a Manuscript
Computational and Mathematical Methods in Medicine
Volume 2017, Article ID 1473287, 29 pages
https://doi.org/10.1155/2017/1473287
Research Article

A Multiscale Model for the World’s First Parasitic Disease Targeted for Eradication: Guinea Worm Disease

Modelling Health and Environmental Linkages Research Group (MHELRG), Department of Mathematics and Applied Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa

Correspondence should be addressed to Winston Garira; az.ca.nevinu@arirag.notsniw

Received 13 October 2016; Revised 8 April 2017; Accepted 15 May 2017; Published 20 July 2017

Academic Editor: José Siri

Copyright © 2017 Rendani Netshikweta and Winston Garira. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. K. Diamenu and A. A. Nyaku, “Guinea worm disease - A chance for successful eradication in the Volta region, Ghana,” Social Science and Medicine, vol. 47, no. 3, pp. 405–410, 1998. View at Publisher · View at Google Scholar · View at Scopus
  2. S. Watts, “Perceptions and priorities in disease eradication: dracunculiasis eradication in Africa,” Social Science and Medicine, vol. 46, no. 7, pp. 799–810, 1998. View at Publisher · View at Google Scholar · View at Scopus
  3. R. Muller, “Guinea worm disease - The final chapter?” Trends in Parasitology, vol. 21, no. 11, pp. 521–524, 2005. View at Publisher · View at Google Scholar · View at Scopus
  4. J. M. Hunter, “An introduction to guinea worm on the eve of its departure: dracunculiasis transmission, health effects, ecology and control,” Social Science and Medicine, vol. 43, no. 9, pp. 1399–1425, 1996. View at Publisher · View at Google Scholar · View at Scopus
  5. B. J. Visser, “Dracunculiasis eradication - Finishing the job before surprises arise,” Asian Pacific Journal of Tropical Medicine, vol. 5, no. 7, pp. 505–510, 2012. View at Publisher · View at Google Scholar · View at Scopus
  6. G. Biswas, D. P. Sankara, J. Agua-Agum, and A. Maiga, “Dracunculiasis (guinea worm disease): eradication without a drug or a vaccine.,” Philosophical transactions of the Royal Society of London. Series B, Biological sciences, vol. 368, no. 1623, p. 20120146, 2013. View at Publisher · View at Google Scholar · View at Scopus
  7. S. Cairncross, A. Tayeh, and A. S. Korkor, “Why is dracunculiasis eradication taking so long?” Trends in Parasitology, vol. 28, no. 6, pp. 225–230, 2012. View at Publisher · View at Google Scholar · View at Scopus
  8. N. C. Iriemenam, W. A. Oyibo, and A. F. Fagbenro-Beyioku, “Dracunculiasis - The saddle is virtually ended,” Parasitology Research, vol. 102, no. 3, pp. 343–347, 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. H. W. Hethcote, “The mathematics of infectious diseases,” SIAM Review, vol. 42, no. 4, pp. 599–653, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. W. Garira, “The dynamical behaviours of diseases in Africa,” in In Handbook of Systems and Complexity in Health, pp. 595–623, Springer, New York, 2013. View at Google Scholar
  11. M. A. Nowak and R. M. May, Virus Dynamics: Mathematics Principles of Immunology and Virology, Oxford University Press, London, UK, 2000. View at MathSciNet
  12. G. Magombedze, W. Garira, and E. Mwenje, “Modelling the human immune response mechanisms to Mycobacterium tuberculosis infection in the lungs,” Mathematical Biosciences and eNgineering, vol. 3, no. 4, pp. 661–682, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  13. W. Garira, D. Mathebula, and R. Netshikweta, “A mathematical modelling framework for linked within-host and between-host dynamics for infections with free-living pathogens in the environment,” Mathematical Biosciences, vol. 256, pp. 58–78, 2014. View at Publisher · View at Google Scholar · View at Scopus
  14. J. S. Robert, C. Patrick, H. James, and D. Alex, “A Mathematical Model for the eradication of Guinea worm disease,” Understanding the dynamics of emerging and re-emerging infectious diseases using mathematical models pgs, pp. 133–156, 2012. View at Google Scholar
  15. M. O. Adewole, “A Mathematical Model of Dracunculiasis Epidemic and Eradication,” IOSR Journal of Mathematics, vol. 8, no. 6, pp. 48–56, 2013. View at Publisher · View at Google Scholar
  16. L. Kathryn, “Guinea worm disease (Dracunculiasis): Opening a mathematical can of worms,” Tech. Rep., Bryn Mawr College, Pennsylvania, 2012. View at Google Scholar
  17. B. Hellriegel, “Immunoepidemiology - Bridging the gap between immunology and epidemiology,” Trends in Parasitology, vol. 17, no. 2, pp. 102–106, 2001. View at Publisher · View at Google Scholar · View at Scopus
  18. D. M. Vickers and N. D. Osgood, “A unified framework of immunological and epidemiological dynamics for the spread of viral infections in a simple network-based population,” Theoretical Biology and Medical Modelling, vol. 4, article no. 49, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. C. Greenaway, “Dracunculiasis (guinea worm disease),” CMAJ, vol. 170, no. 4, pp. 495–500, 2004. View at Google Scholar · View at Scopus
  20. C. Castillo-Chavez, Z. Feng, and W. Huang, “On the computation of R0 and its role in global stability. In Mathematical Approaches for Emerging and Re-emerging Infectious Diseases Part 1: An Introduction to Models, Methods and Theory,” in The IMA Volumes in Mathematics and Its Applications, C. Castillo-Chavez, S. Blower, P. van den Driessche, and., and D. Kirschner, Eds., vol. 125, pp. 229–250, Springer-Verlag, Berlin, 125, 2002. View at Google Scholar
  21. P. J. Van den Driessche and P. J. Watmough, “Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission,” Mathematical biosciences, vol. 180, no. 1, pp. 29–48, 2002. View at Google Scholar
  22. J. Carr, Applications of Centre Manifold Theory, Springer, New York, NY, USA, 1981. View at MathSciNet
  23. C. Castillo-Chavez and B. Song, “Dynamical models of tuberculosis and their applications,” Mathematical Biosciences and Engineering (MBE), vol. 1, no. 2, pp. 361–404, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  24. N. Chitnis, J. M. Hyman, and J. M. Cushing, “Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model,” Bulletin of Mathematical Biology, vol. 70, no. 5, pp. 1272–1296, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. H. J. B. Njagavah and F. Nyambaza, “Modelling the impact of rehabitation amelioration and relapse on the prevalence of drug epidemics. Journal of Biology Systems,” Vol, vol. 21, article no. 1, 2012. View at Google Scholar