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BioMed Research International
Volume 2013 (2013), Article ID 150681, 10 pages
Transmission Model of Hepatitis B Virus with the Migration Effect
1Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, Pakistan
2Department of Management Sciences, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, Pakistan
Received 13 February 2013; Revised 25 March 2013; Accepted 25 March 2013
Academic Editor: Kanury Rao
Copyright © 2013 Muhammad Altaf Khan 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.
- F. Ahmed and G. R. Foster, “Global hepatitis, migration and its impact on Western healthcare,” Gut, vol. 59, no. 8, pp. 1009–1011, 2010.
- “Chinese center for disease control and prevention (CCDC),” 2010, http://www.chinacdc.cn/n272442/n272530/n3479265/n3479303/37095.html.
- G. F. Medley, N. A. Lindop, W. J. Edmunds, and D. J. Nokes, “Hepatitis-B virus endemicity: heterogeneity, catastrophic dynamics and control,” Nature Medicine, vol. 7, no. 5, pp. 619–624, 2001.
- S. Thornley, C. Bullen, and M. Roberts, “Hepatitis B in a high prevalence New Zealand population: a mathematical model applied to infection control policy,” Journal of Theoretical Biology, vol. 254, no. 3, pp. 599–603, 2008.
- R. M. Anderson and R. M. May, Infectious Disease of Humans: Dynamics and Control, Oxford University Press, Oxford, UK, 1991.
- S. Zhao, Z. Xu, and Y. Lu, “A mathematical model of hepatitis B virus transmission and its application for vaccination strategy in China,” International Journal of Epidemiology, vol. 29, no. 4, pp. 744–752, 2000.
- K. Wang, W. Wang, and S. Song, “Dynamics of an HBV model with diffusion and delay,” Journal of Theoretical Biology, vol. 253, no. 1, pp. 36–44, 2008.
- R. Xu and Z. Ma, “An HBV model with diffusion and time delay,” Journal of Theoretical Biology, vol. 257, no. 3, pp. 499–509, 2009.
- L. Zou, W. Zhang, and S. Ruan, “Modeling the transmission dynamics and control of hepatitis B virus in China,” Journal of Theoretical Biology, vol. 262, no. 2, pp. 330–338, 2010.
- J. Pang, J. A. Cui, and X. Zhou, “Dynamical behavior of a hepatitis B virus transmission model with vaccination,” Journal of Theoretical Biology, vol. 265, no. 4, pp. 572–578, 2010.
- K. P. Maier, Hepatitis-Hepatitisfolgen, Georg Thieme Verlag, Stuttgart, Germany, 2000.
- G. L. Mandell, R. G. Douglas, and J. E. Bennett, Principles and Practice of Infectious Diseases, A Wiley Medical Publication John Wiley and Sons, New York, NY, USA, 1979.
- C. W. Shepard, E. P. Simard, L. Finelli, A. E. Fiore, and B. P. Bell, “Hepatitis B virus infection: epidemiology and vaccination,” Epidemiologic Reviews, vol. 28, no. 1, pp. 112–125, 2006.
- X. Weng and Y. Zhang, Infectious Diseases, Fudan University Press, Shanghai, China, 2003.
- J. Wu and Y. Luo, Infectious Diseases, Central South University Press, Changsha, China, 2004.
- J. B. Wyngaarden, L. H. Smith, and J. C. Bennett, Cecil Text Book of Medicine, WB Saunders, Philadelphia, Pa, USA, 19th edition, 1992.
- B. J. McMahon, W. L. M. Alward, and D. B. Hall, “Acute hepatitis B virus infection: relation of age to the clinical expression of disease and subsequent development of the carrier state,” Journal of Infectious Diseases, vol. 151, no. 4, pp. 599–603, 1985.
- P. Van Den Driessche and J. Watmough, “Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission,” Mathematical Biosciences, vol. 180, pp. 29–48, 2002.
- O. Diekmann and J. A. P. Heesterbeek, Mathematical Epideniology of Infectious Diseases, 2000.
- A. Mwasa and J. M. Tchuenche, “Mathematical analysis of a cholera model with public health interventions,” BioSystems, vol. 105, no. 3, pp. 190–200, 2011.
- J. Li and Y. Yang, “SIR-SVS epidemic models with continuous and impulsive vaccination strategies,” Journal of Theoretical Biology, vol. 280, no. 1, pp. 108–116, 2011.
- J. P. LaSalle, “Stability of nonautonomous systems,” Nonlinear Analysis, vol. 1, no. 1, pp. 83–90, 1976.
- World Health Organization, “Hepatitis B. WHO/CDS/CSR/LYO/2002.2: Hepatitis B,” http://www.who.int/csr/disease/hepatitis/whocdscsrlyo20022/en/.
- W. J. Edmunds, G. F. Medley, and D. J. Nokes, “The transmission dynamics and control of hepatitis B virus in the Gambia,” Statistics in Medicine, vol. 15, pp. 2215–2233, 2002.