[1] | Anderson, R. M. (1988), “The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS”, J. AIDS, Vol. 1, pp. 214 – 256. |
[2] | Cai, L. and Li. Z., (2010), ”Analysis of a simple vector-host epidemic model with direct transmission1” College of Mathematics and Information Science, Xinyang Normal University Xinyang 464000, Henan, China. |
[3] | Diekmann, O. and Heesterbeeck, J.A. (2000), “Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation”, Chichester, Wiley. |
[4] | Diekmann, O., Heesterbeeck, J.A. and Merlz J. A. J. (1990), “On the Definition and Computation of the Basic Reproduction Ratio R0 in Models of Infectious Diseases in Heterogeneous Populations”, Journal of Math. Biol, Vol. 2, No. 8. |
[5] | Issa, S., Massawe, E.S and Makinde, O.D. (2011), “Modelling the effect of screening on the spread of HIV infection in a Homogeneous population with infective immigrants”, Scientific Research and Essays (SRE), pp. 4397 – 4405. |
[6] | Lima, V.D., Johnston, K., Hogg, S.R., Levy, A.R., Harrigan, P.R., Anema, A. and Montaner, J.S.G. (2008), ’’Expanded access to Highly Active Antiretroviral Therapy, A Potentially powerful strategy to curb down the growth of HIV epidemic’’, America Journal of Infectious Disease, 198, pp. 59 – 67. |
[7] | LaSalle, J.P., (1976) The Stability of Dynamical Systems, in: Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, PA. |
[8] | Montaner, J.S., Hogg, R., Wood, E., Kerr, T., Tyndall, M., (2006) “The case for expanding access to highly active antiretroviral therapy to curb the growth of the HIV epidemic”. Lancet 368 (9534): 531–536. |
[9] | Naresh, R., Tripathi, A., and Omar, S., (2006) Modelling the spread of aids epidemic with vertical transmission. Applied
Mathematics and Computation, 2006, 178: 262–272. |
[10] | Simwa, R.O. and Pokhariyal, G.P. (2003), “A dynamical model for stage-specific HIV incidences with application to Sub-Saharan Africa“, Applied Mathematics and Computation, Elsevier, Vol. 6 No 14. |
[11] | Tewa, J., Dimi, J., and Bowong, S. (2009) Lyapunov function for a dengue disease transmission model. Chaos, Solitons and
Fractals, 39: 936–941. |
[12] | UNAIDS (2013), “HIV estimates with uncertainty bounds, 1990 – 2012”, UNAIDS Report on the Global AIDS Epidemic, www.unaids.com, Last Accessed: 1st January, 2014. |
[13] | Van den Driessche, P. and Watmough, J. (2002), “Reproduction numbers and subthreshold endemic equilibria for Compartmental models of disease transmission”, Journal of Mathematical Bio-sciences, Vol. 180, No. 388. |