A numerical study on a HIV transmission mathematical model / Nur Izyan Hasna Suhaili, Nur Izzati Khairudin and Nurizatul Syarfinas Ahmad Bakhtiar

In this paper, the numerical solution of the HIV transmission mathematical model by using improved Euler’s method has been studied. The existence of HIV is dangerous because it is highly harmful and can worsen the human body’s system. HIV will damage the immune system and weaken a person’s immune system to fight infections. Therefore, we want to observe a system of ordinary differential equations as some parameters change to analyze the behavior of HIV transmission in HIV patients. In this study, P and β represent as the number of verified the removed rate and the average number of transmissions for an infected person in a time respectively has been varied. We observed the S(t), U(t) and I(t) which are the number of susceptible individuals, the number of infected individuals, and the number of removed individuals, respectively. Therefore, we chose parameters value for P = 0.75, 5,1, 20, 0 and β = 0.25, 6, 0.5, 2, 0.1 as α₀, α₁, b, μ and Ν will be using the same as the value used by Suparyanto & Rosad (2020). By this choice of parameters, we were able to obtain the behavior of HIV transmission. The population of HIV transmission increased which refers to S(t) however the condition of HIV patients becoming slower due to 100 days at U(t). Meanwhile, the cell population during at I(t) were under control after taking the medicines and treatment from doctors. Thus, this means that doctors can predict and develop the evolution of HIV in each patient.