@article{MAKHILLRJAS2007258753,
    title = {Review of SIR Epidemic Model with Application To Transmission Dynamics of HIV/AIDS in a Proportional Mixing Population},
    journal = {Research Journal of Applied Sciences},
    volume = {2},
    number = {5},
    pages = {595-599},
    year = {2007},
    issn = {1815-932x},
    doi = {rjasci.2007.595.599},
    url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2007.595.599},
    author = {Umar Mallam Abdulkarim},
    keywords = {Basic reproductive number,infectivity kernel,HIV,AIDS,transmission rate,stability,vital dynamics,transmission dynamics,disease free-equilibrium point,endemic equilibrium point,transmissibility of the virus,epidemics},
    abstract = {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.}
    }