@article{jmat, author = {Jafaruddin (Alm) and Rapmaida M. Pangaribuan and . Aryanto and Irena A. Henukh}, title = { Analisis Kestabilan Model Host-Vector Transmisi HIV/AIDS Pada Pengguna Jarum Suntik}, journal = {Jurnal Matematika}, volume = {7}, number = {1}, year = {2022}, keywords = {}, abstract = {HIV/AIDS is a very dangerous disease. The transmission of HIV/AIDS can be in three ways and one of them through a syringe. In this paper we describe SIR and SEIR Host-Vector model transmission of HIV/AIDS amongst populations of injecting drug users. From the existing model we obtained disease-free equilibrium point and endemic equilibrium point. Then we study the stability conditions and sensitivity analysis of the . The analysis shows if  then the disease-free equilibrium point is stable and if  then the endemic equilibrium point will be stable. We also obtained that parameter of probality host-vector infected with HIV/AIDS affects the increase of number infected HIV/AIDS. Keywords: HIV/AIDS, Host-Vector Transmission, The Stability of Equilibrium Point.}, issn = {2655-0016}, pages = {1--11}, url = {https://ojs.unud.ac.id/index.php/jmat/article/view/30830} }