800
Views
2
CrossRef citations to date
0
Altmetric
Research Article

Approximate analytical solution with stability analysis of HIV/AIDS model

ORCID Icon, & | (Reviewing Editor)
Article: 1206692 | Received 20 Oct 2015, Accepted 17 Jun 2016, Published online: 22 Jul 2016

References

  • Anderson, R. M. (1988). The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS. Journal of Acquired Immune Deficiency Syndrome, 1, 214–256.
  • Anderson, R. M., & May, R. M. (1979). Population biology of infectious diseases: Part I. Nature, 280, 361–367.10.1038/280361a0
  • Anderson, R. M., & May, R. M. (1991). Infectious disease of humans: Dynamics and control. Oxford: Oxford University Press.
  • Awawdeh, F., Adawi, A., & Mustafa, Z. (2009). Solutions of the SIR models of epidemics using HAM. Chaos, Solitons and Fractals, 42, 3047–3052.10.1016/j.chaos.2009.04.012
  • Baral, S., Beyrer, C., Muessig, K., Poteat, T., Wirtz, A. L., Decker, M. R., … Kerrigan, D. (2012). Burden of HIV among female sex workers in low-income and middle-income countries: A systematic review and meta-analysis. The Lancet Infectious Diseases, 12, 538–549.10.1016/S1473-3099(12)70066-X
  • Bhunu, C. P., & Mushayabasa, S. (2012). Prostitution and drug (alcohol) misuse: The menacing combination. Journal of Biological Systems, 20, 177–193.10.1142/S0218339012500052
  • Boily, M. C., Baggaley, R. F., Wang, L., Masse, B., White, R. G., Hayes, R. J., & Alary, M. (2009). Heterosexual risk of HIV-1 infection per sexual act: Systematic review and meta-analysis of observational studies. The Lancet Infectious Diseases, 9, 118–129.10.1016/S1473-3099(09)70021-0
  • Busenberg, S., Cooke, K., & Hsieh, Y. H. (1995). A model for HIV in Asia. Mathematical Biosciences, 128, 185–210.10.1016/0025-5564(94)00072-8
  • Ghoreishi, M., Ismail, A. I. B. Md., & Alomari, A. K. (2011). Application of the homotopy analysis method for solving a model for HIV infection of CD4+ T-cells. Mathematical and Computer Modelling, 54, 3007–3015.10.1016/j.mcm.2011.07.029
  • Hethcote, H. W. (2000). The mathematics of infectious diseases. Society for the Industrial and Applied Mathematics, 42, 599–653.
  • Jacquez, J. A., Simon, C. P., Koopman, J., Sattenspiel, L., & Perry, T. (1988). Modeling and analyzing HIV transmission: The effect of contact patterns. Mathematical Biosciences, 92, 119–199.10.1016/0025-5564(88)90031-4
  • Kaur, N., Ghosh, M., & Bhatia, S. S. (2014). Mathematical analysis of the transmission dynamics of HIV/AIDS: Role of female sex workers. Applied Mathematics & Information Sciences, 8, 2491–2501.
  • Lakhashe, S., Thakar, M., Godbole, S., Tripathy, S., & Paranjape, R. (2008). HIV infection in India: Epidemiology, molecular epidemiology and pathogenesis. Journal of Biosciences, 33, 515–525.10.1007/s12038-008-0070-3
  • Liao, S. J. (2004a). Beyond perturbation: Introduction to homotopy analysis method. Boca Raton, FL: CRC Press/Chapman and Hall.
  • Liao, S. J. (2004b). On the homotopy analysis method for nonlinear problems. Applied Mathematics and Computation, 147, 499–513.10.1016/S0096-3003(02)00790-7
  • NAVO. (2014). District HIV/AIDS epidemiological profiles developed through data triangulation fact sheets Tamil Nadu. Retrieved from http://www.naco.gov.in/upload/NACP%20-%20IV/FACT%20SHEET%20NACP%20IV%20LAUNCH/DEP%202014/Tamil%20Nadu_DEP.pdf
  • Sajid, M., Abbas, Z., Ali, N., & Javed, T. (2013). A note on solutions of the SIR models of epidemics using HAM. ISRN Applied Mathematics, 2013, 1–4.10.1155/2013/457072
  • Shah, N. H., & Gupta, J. (2013). Modelling and analysis of HIV/AIDS menace using differential equations. Journal of Advances in Mathematics, 3, 191–200.
  • UNAIDS. (2009). UNAIDS guidance note on HIV and sex work. Retrieved from http://www.unaids.org/sites/default/files/sub_landing/files/JC2306_UNAIDS-guidance-note-HIVsex-work_enpdf
  • UNAIDS. (2014). AIDS epidemic update. Retrieved from http://www.unaids.org/sites/default/files/media_asset/GARPR_2014_guidelines_en_0.pdf.
  • Venkataramana, C. B. S., & Sarada, P. V. (2001). Extent and speed of spread of HIV infection in India through the commercial sex networks: A perspective. Tropical Medicine & International Health, 6, 1040–1061.