TY - JOUR T1 - Modelling the Spread of HIV/AIDS Epidemic AU - Gosalamang , Kelatlhegile Ricardo AU - Huang , Qingdao JO - Communications in Mathematical Research VL - 3 SP - 244 EP - 254 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19008.html KW - spread of HIV/AIDS, horizontal transmission, threshold, stability. AB -

In this paper, a deterministic mathematical model for the spread of HIV/AIDS in a variable size population through horizontal transmission is considered. The existence of a threshold parameter, the basic reproduction number, is established, and the stability of both the disease-free equilibrium and the endemic equilibrium is discussed in terms of $R_0$.