Table of Contents Author Guidelines Submit a Manuscript
Computational and Mathematical Methods in Medicine
Volume 2016, Article ID 8713924, 12 pages
http://dx.doi.org/10.1155/2016/8713924
Research Article

Seasonality Impact on the Transmission Dynamics of Tuberculosis

1Science College, Air Force Engineering University, Xi’an, Shaanxi 710051, China
2College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, Shaanxi 710062, China
3Centre for Disease Modelling, York University, Toronto, ON, Canada M3J 1P3
4School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China
5Institute of Tuberculosis Prevention and Treatment in Shaanxi, Xi’an, Shaanxi 710048, China

Received 10 November 2015; Revised 14 January 2016; Accepted 1 February 2016

Academic Editor: Ruy M. Ribeiro

Copyright © 2016 Yali Yang 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 Report 2014, World Health Organization Press, Geneva, Switzerland, 2014.
  2. W. Wang and X.-Q. Zhao, “Threshold dynamics for compartmental epidemic models in periodic environments,” Journal of Dynamics and Differential Equations, vol. 20, no. 3, pp. 699–717, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. D. Posny and J. Wang, “Modelling cholera in periodic environments,” Journal of Biological Dynamics, vol. 8, no. 1, pp. 1–19, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. J. Zhang, Z. Jin, G.-Q. Sun, X.-D. Sun, and S. Ruan, “Modeling seasonal rabies epidemics in China,” Bulletin of Mathematical Biology, vol. 74, no. 5, pp. 1226–1251, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  5. D. Behera and P. P. Sharma, “A retrospective study of seasonal variation in the number of cases diagnosed at a tertiary care tuberculosis hospital,” Indian Journal of Chest Disease and Allied Science, vol. 53, no. 3, pp. 145–152, 2011. View at Google Scholar
  6. M. D. Willis, C. A. Winston, C. M. Heilig, K. P. Cain, N. D. Walter, and W. R. Mac Kenzie, “Seasonality of tuberculosis in the United States, 1993–2008,” Clinical Infectious Diseases, vol. 54, no. 11, pp. 1553–1560, 2012. View at Publisher · View at Google Scholar · View at Scopus
  7. R. A. Atun, Y. A. Samyshkin, F. Drobniewski, S. I. Kuznetsov, I. M. Fedorin, and R. J. Coker, “Seasonal variation and hospital utilization for tuberculosis in Russia: hospitals as social care institutions,” European Journal of Public Health, vol. 15, no. 4, pp. 350–354, 2005. View at Google Scholar
  8. C. M. Parrinello, A. Crossa, and T. G. Harris, “Seasonality of tuberculosis in New York City, 1990–2007,” International Journal of Tuberculosis and Lung Disease, vol. 16, no. 1, pp. 32–37, 2012. View at Publisher · View at Google Scholar · View at Scopus
  9. C. C. Leung, W. W. Yew, T. Y. K. Chan et al., “Seasonal pattern of tuberculosis in Hong Kong,” International Journal of Epidemiology, vol. 34, no. 4, pp. 924–930, 2005. View at Publisher · View at Google Scholar · View at Scopus
  10. X.-X. Li, L.-X. Wang, H. Zhang et al., “Seasonal variations in notification of active tuberculosis cases in China, 2005–2012,” PLoS ONE, vol. 8, no. 7, Article ID e68102, 2013. View at Publisher · View at Google Scholar · View at Scopus
  11. L. Liu, X.-Q. Zhao, and Y. Zhou, “A tuberculosis model with seasonality,” Bulletin of Mathematical Biology, vol. 72, no. 4, pp. 931–952, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  12. Tuberculosis, “The data-center of China public health science,” http://www.phsciencedata.cn/Share.
  13. A. K. Janmeja and P. R. Mohapatra, “Seasonality of tuberculosis,” International Journal of Tuberculosis and Lung Disease, vol. 9, no. 6, pp. 704–705, 2005. View at Google Scholar · View at Scopus
  14. A. R. Martineau, S. Nhamoyebonde, T. Oni et al., “Reciprocal seasonal variation in vitamin D status and tuberculosis notifications in Cape Town, South Africa,” Proceedings of the National Academy of Sciences of the United States of America, vol. 108, no. 47, pp. 19013–19017, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. S. M. Blower, A. R. McLean, T. C. Porco et al., “The intrinsic transmission dynamics of tuberculosis epidemics,” Nature Medicine, vol. 1, no. 8, pp. 815–821, 1995. View at Publisher · View at Google Scholar · View at Scopus
  16. 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 Publisher · View at Google Scholar · View at MathSciNet
  17. C. Dye and B. G. Williams, “The population dynamics and control of tuberculosis,” Science, vol. 328, no. 5980, pp. 856–861, 2010. View at Publisher · View at Google Scholar · View at Scopus
  18. P. van den Driessche and J. Watmough, “Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission,” Mathematical Biosciences, vol. 180, no. 1-2, pp. 29–48, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. F. Zhang and X.-Q. Zhao, “A periodic epidemic model in a patchy environment,” Journal of Mathematical Analysis and Applications, vol. 325, no. 1, pp. 496–516, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin, Germany, 2nd edition, 1976. View at MathSciNet
  21. X.-Q. Zhao, Dynamical Systems in Population Biology, Springer, New York, NY, USA, 2003. View at Publisher · View at Google Scholar · View at MathSciNet