Analisis Dinamik Model Matematika Penyebaran Penyakit HIV/AIDS dengan Edukasi Dan Art Treatment

Mohamad Syafii (UIN Imam Bonjol Padang)
La Ode Sabran (UIN Imam Bonjol Padang)
Ilham Dangu Rianjaya (UIN Imam Bonjol Padang)

MES: Journal of Mathematics Education and Science
Vol 9, No 1 (2023): Edisi Oktober (Progress)

Mathematical models are often used to describe phenomena in the field of biology, such as the spread of infectious diseases, one of which is HIV/AIDS. The prevention of HIV/AIDS is through education on the dangers of HIV/AIDS, and ART treatment for HIV positive individuals to increase immunity. The purpose of this study is to analyze the dynamic mathematical model of the transmission of HIV/AIDS with ART treatment and education. This research is a literature study. This study develops the SITA model, by including compartments of susceptible individuals who are aware of the spread of HIV/AIDS and add several parameters to the model. Based on the mathematical model used, two equilibrium points are obtained, namely the disease-free equilibrium point and the endemic equilibrium point, the basic reproduction number and stability analysis around the stability point. Based on the data used, a simulation of the transmission of HIV/AIDS was obtained at both equilibrium points. The stability analysis shows that the disease-free equilibrium point is locally asymptotically stable if R01.