Riry Sriningsih, Helma, Mohammad Soleh
HIV-AIDS is a type of virus that attacks the human immune system so that the immune system becomes weak and susceptible to various diseases. The worst consequence of HIV-AIDS is death. HIV-AIDS is very easily spread through sexual contact between an infected individual and a susceptible individual. The risk of transmission for each subpopulation will be different, both the interaction between susceptible individuals vs. HIV-infected and the interaction between susceptible individuals vs. AIDS caused by the level of the virus in the patient's body. Therefore, in this study, a mathematical model of the spread of HIV-AIDS will be discussed by considering the effect of interactions on each subpopulation. The aim is to find out which interaction effect is dominant on the spread of HIV-AIDS. The method used is to construct a mathematical model of the spread of HIV-AIDS, determine the equilibrium point of the model, investigate the stability of equilibrium point, and interpret the simulation model by considering the effect of interactions on each subpopulation. From the constructed model, two equilibrium points are produced, namely the unstable HIV-AIDS-free equilibrium point and the stable endemic equilibrium point. This means that in the population there will always be individuals infected with HIV-AIDS. Based on the simulation results by considering the effect of interactions between subpopulations, it was found that there was a significant change in the number of individuals in the susceptible vs AIDS subpopulation compared to individuals in the susceptible vs HIV asymptomatic subpopulation and individuals in the susceptible vs HIV symptomatic subpopulation. © 2023 Author(s).
Department of Mathematics, Universitas Negeri Padang, Padang, Indonesia; Department of Matematics, Universitas Islam Negeri Sultan Syarif Kasim, Riau, Indonesia
