%0 Journal Article %T SIR Model and HIV/AIDS in Khartoum %A Sheima M. E. Abueldahab %A Franck Kalala Mutombo %J Open Access Library Journal %V 8 %N 4 %P 1-10 %@ 2333-9721 %D 2021 %I Open Access Library %R 10.4236/oalib.1107334 %X The Human Immunodeficiency Virus (HIV) epidemic in Khartoum constitutes the most serious health problem in the region and one that we do not fully understand. Recent approaches aiming to understand the situation have attempted to model the Human Immunodeficiency Virus (HIV) epidemic using deterministic compartmental models. Our work has reviewed the formal mathematical work on deterministic models of this nature and considers the relevance of the modelling approach to the HIV in Khartoum. This model is built on SIR and population models. Evaluation of the basic reproduction number, R0, will be carried out using the SIR model for an optimal value of ¦Á and ¦Ã where ¦Á and ¦Ã are the inflow and the outflow of infectious individuals per infectious capita respectively (R0 =