Fourth order Runge-Kutta method for solving a mathematical model of the spread of HIV-AIDS.

We considered a mathematical model of the spread of the HIV-AIDS (Human Immunodeficiency Virus - Acquired Immunodeficiency Syndromedisease). The model is of the type of SIA (Susceptible, Infected, AIDS cases). The total population was subdivided into three compartments, that is, S (Susceptible group), I (Infected group) and A (AIDS cases group), as the name suggests, in order to form the SIA model. We used the fourth order Runge-Kutta method for solving the model. We took secondary data available in the literature for parameters and initial conditions that we used in our simulations. The resulting Runge-Kutta solutions provided behaviour and prediction of the spread of the HIV-AIDS disease. [ABSTRACT FROM AUTHOR]