TY  - JOUR
T1  - Age-Structured Transmission Dynamics Model for Vertical and Horizontal Transmission of HIV/AIDS
AU - , M.A. Umar AU - , E.O. Olowofeso AU - , R.A. Ademiluyi 
JO  - Journal of Modern Mathematics and Statistics
VL  - 2
IS  - 6
SP  - 197
EP  - 202
PY  - 2008
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2008.197.202
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2008.197.202
KW  - Steady state
KW  -HIV/AIDS
KW  -mortality rate
KW  -interaction function
KW  -infection rate
KW  -AIDS incubation period
KW  -HIV progression rate
KW  -HIV infectious period
AB  - Transmission dynamics model for HIV/AIDS, along the line of Mckendrick-Forester age-structured model is proposed with the natural mortality rate and the fertility functions assumed to be age depended, similar to Doma, Gurtin-MacCamy definitions. The solutions to the governing equations are obtained and the steady states are examined for their local stability. The model is further extended to study the case of constant mortality rate and an exponential type of interaction function. It is observed that the endemic steady exist and asymptotically stable.
ER  -