Introduction: One of the greatest causes of morbidity and mortality in the Sub-Saharan Africa, particularly among young adults is HIV/AIDS. Many Mathematical models have been suggested for describing the epidemiology as well as the epidemiological consequences of the epidemic. It is very necessary to review some of these models so as to aid researchers in applying some of them to the situations in their countries.
Methodology: In this study, we review many of the models proposed by various author and how some of them could be modified to suit the situations in other countries. We also discuss the limitations and the place of such models in the fight against HIV epidemic.
Results: We reviewed models across different scenarios and ensured that the models are reviewed in such a manner that would lead to a clearer understanding of the premises and assumptions on which the models were based.
Conclusion: Mathematical models have been very useful in HIV research; particularly that empirical studies with People Living With HIV/AIDS (PLWHA) is generating a lot of ethical issues.