TY  - JOUR
T1  - Review of SIR Epidemic Model with Application To Transmission Dynamics of HIV/AIDS in a Proportional Mixing Population
AU - , Umar Mallam Abdulkarim 
JO  - Research Journal of Applied Sciences
VL  - 2
IS  - 5
SP  - 595
EP  - 599
PY  - 2007
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2007.595.599
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2007.595.599
KW  - Basic reproductive number
KW  -infectivity kernel
KW  -HIV
KW  -AIDS
KW  -transmission rate
KW  -stability
KW  -vital dynamics
KW  -transmission dynamics
KW  -disease free-equilibrium point
KW  -endemic equilibrium point
KW  -transmissibility of the virus
KW  -epidemics
AB  - In this study, we examined, the Susceptibles-Infectives-Removed/Recovered, (SIR) epidemic model and applied it to horizontal transmission of HIV/AIDS in a homogeneous mixing population. with additional assumption that AIDS virus does not kill instead;  AIDS-infectives are removed from circulation until death by non disease induced. Also the stability of the equilibrium points are examined via the basic reproductive number of the infection and trace-determinant condition of the Jacobian matrix at the equilibrium point, for a system of non-linear differential equation. The threshold conditions on the model parameters, which allows stability of the disease-free equilibrium and the endemic equilibrium points are derived and their biological interpretations given.
ER  -