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Abstract and Applied Analysis
Volume 2014, Article ID 187897, 9 pages
http://dx.doi.org/10.1155/2014/187897
Research Article

Global Stability for a Viral Infection Model with Saturated Incidence Rate

1School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
2Key Laboratory of Mathematics and Interdisciplinary Science of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou 510006, China

Received 13 January 2014; Accepted 18 February 2014; Published 6 April 2014

Academic Editor: Chuangxia Huang

Copyright © 2014 Huaqin Peng and Zhiming Guo. 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. M. A. Nowak, S. Bonhoeffer, A. M. Hill, R. Boehme, H. C. Thomas, and H. Mcdade, “Viral dynamics in hepatitis B virus infection,” Proceedings of the National Academy of Sciences of the United States of America, vol. 93, no. 9, pp. 4398–4402, 1996. View at Publisher · View at Google Scholar · View at Scopus
  2. A. Korobeinikov, “Global properties of basic virus dynamics models,” Bulletin of Mathematical Biology, vol. 66, no. 4, pp. 879–883, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  3. A. M. Elaiw, “Global properties of a class of HIV models,” Nonlinear Analysis: Real World Applications, vol. 11, no. 4, pp. 2253–2263, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. J. Li, X. Song, and F. Gao, “Global stability of a viral infection model with two delays and two types of target cells,” The Journal of Applied Analysis and Computation, vol. 2, no. 3, pp. 281–292, 2012. View at Google Scholar · View at MathSciNet
  5. R. Qesmi, J. Wu, J. Wu, and J. M. Heffernan, “Influence of backward bifurcation in a model of hepatitis B and C viruses,” Mathematical Biosciences, vol. 224, no. 2, pp. 118–125, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. D. Sansonno, A. R. Iacobelli, V. Cornacchiulo et al., “Detection of hepatitis C virus (HIV) proteins by immunouorescence and HCV RNA genomic sequences by nonisotopic in situ hybridization in bone marrow and peripheral blood mononnuclear cells of chronically HCV infected,” Clinical & Experimental Immunology, vol. 103, pp. 414–421, 1996. View at Google Scholar
  7. D. Wodarz and D. N. Levy, “Human immunodeficiency virus evolution towards reduced replicative fitness in vivo and the development of AIDS,” Proceedings of the Royal Society B: Biological Sciences, vol. 274, no. 1624, pp. 2481–2490, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. X. Zhou, X. Song, and X. Shi, “A differential equation model of HIV infection of CD4+ T-cells with cure rate,” Journal of Mathematical Analysis and Applications, vol. 342, no. 2, pp. 1342–1355, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. V. Capasso and G. Serio, “A generalization of the Kermack-McKendrick deterministic epidemic model,” Mathematical Biosciences, vol. 42, no. 1-2, pp. 43–61, 1978. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. 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. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. J. Hale, Theory of Functional Differential Equations, Springer, New York, NY, USA, 2nd edition, 1977. View at MathSciNet