Identication of Gumel-Mickens HIV model with incomplete information on a population


  • Mercy Ngungu* Tshwane University of Technology
  • C.R. Kikawa
  • M.Y. Shatalov
  • I. Fedotov


In this paper the Gumel-Mickens problem [1] is considered, which includes a
population of four types: HIV Susceptible [2], infected-vaccinated and infected-
non vaccinated population and uninfected vaccinated population. It is assumed
that data on the total population infected vaccinated and infected, and un-
vaccinated population is available. It is shown that in this case of incomplete
information [3] it is possible to fully identify the mathematical model, i.e. nd
all coecients of this model [4] and restore information about HIV-suspected
and uninfected vaccinated population.

Author Biography

Mercy Ngungu*, Tshwane University of Technology

PhD Student: Department of Mathematics and Statistics


R. E. Mickens, K. Oyedeji, and S. Rucker, Exact finite difference scheme for second-order, linear ODEs having constant coecients, Journal of Sound and Vibration 287 1052-1056, 2005.

E. Gonzalez, H. Kulkarni, H. Bolivar, A. Mangano, R. Sanchez, G. Catano, R.J. Nibbs, B.I. Freedman, M.P. Quinones, M.J. Bamshad, and K.K. Murthy, The infuence of CCL3L1 gene-containing segmental duplications on HIV-1/AIDS susceptibility, Science 307 1434-1440, 2005.

V. DeGruttola, N. Lange, U. and Dafni, Modeling the progression of HIV infection, Journal of the American Statistical Association 86 569-577, 1991.

G. Maldonado, and S. Greenland, Interpreting model coefficients when the true model form is unknown, Epidemiology 1 310-318, 1993.






Conference Contributions