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Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 296905, 12 pages
Research Article

Modeling Transmission of Tuberculosis with MDR and Undetected Cases

1College of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China
2Department of Mathematics, North University of China, Taiyuan 030051, China
3Antituberculosis Research Institute of Guangdong Province, Guangzhou 510630, China
4National Institute on Drug Dependence, Peking University, Beijing 100083, China

Received 22 February 2011; Accepted 10 April 2011

Academic Editor: Guang Zhang

Copyright © 2011 Yongqi Liu et al. 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. WHO, “Global tuberculosis control: surveillance, planning, financing,” 2008. View at Google Scholar
  2. Z. Jia, X. Li, W. Cao, S. Chen, and C. Dye, “Temporal-spatial model and risk factor evaluation for Tuberculosis,” Tech. Rep., Beijing University of Posts and Telecommucation, 2008. View at Google Scholar
  3. C. Dye and B. G. Williams, “Criteria for the control of drug-resistant tuberculosis,” Proceedings of the National Academy of Sciences of the United States of America, vol. 97, no. 14, pp. 8180–8185, 2000. View at Publisher · View at Google Scholar
  4. M. W. Borgdorff, “New measurable indicator for tuberculosis case detection,” Emerging Infectious Diseases, vol. 10, no. 9, pp. 1523–1528, 2004. View at Google Scholar
  5. S. M. Blower, P. M. Small, and P. C. Hopewell, “Control strategies for tuberculosis epidemics: new models for old problems,” Science, vol. 273, no. 5274, pp. 497–500, 1996. View at Google Scholar
  6. C. Castillo-Chavez and B. Song, “Dynamical models of tuberculosis and their applications,” Mathematical Biosciences and Engineering, vol. 1, no. 2, pp. 361–404, 2004. View at Google Scholar
  7. C. Castillo-Chavez and Z. Feng, “To treat or not to treat: the case of tuberculosis,” Journal of Mathematical Biology, vol. 35, no. 6, pp. 629–656, 1997. View at Publisher · View at Google Scholar
  8. A. B. Gumel and B. Song, “Existence of multiple-stable equilibria for a multi-drug-resistant model of Mycobacterium tuberculosis,” Mathematical Biosciences and Engineering, vol. 5, no. 3, pp. 437–455, 2008. View at Google Scholar
  9. T. C. Porco and S. M. Blower, “Quantifying the intrinsic transmission dynamics of tuberculosis,” Theoretical Population Biology, vol. 54, no. 2, pp. 117–132, 1998. View at Publisher · View at Google Scholar
  10. N. S. Zhong, “Half Chinese population will be with tubercle bacillus,” People’s Daily, March 2010 (Chinese). View at Google Scholar