Numerical Solution of the Mathematical Model of DHF Spread using the Runge-Kutta Fourth Order Method

Syafruddin Side (Department of Mathematics, Universitas Negeri Makassar, Makassar, Sulawesi Selatan, Indonesia)
Ahmad Zaki (Department of Mathematics, Universitas Negeri Makassar, Makassar, Sulawesi Selatan, Indonesia)
Miswar (Department of Mathematics, Universitas Negeri Makassar, Makassar, Sulawesi Selatan, Indonesia)

ARRUS Journal of Mathematics and Applied Science
Vol. 2 No. 2 (2022)

This research was conducted to find a numerical solution to the mathematical model of DHF in Makassar using the Runge-Kutta fourth order method. The mathematical model of DHF is in the form of a system of differential equations that includes variables S (Susceptible), E (Exposed), I (Infected), and R (Recovery) simplified into classes of vulnerable (S), exposed (E), infected (I) and cured (R) as initial value. Parameters value that is solved numerically using the Runge-Kutta fourth order method with time intervals h = 0.01 months using data from South Sulawesi Provincial Health Service in 2017. Based on the initial value of each class, namely: obtained (Sh1) =10910.4, (E) = 0, (Ih1) = 177.9 , (Sv1) = 5018685.6, (Iv1) = 135.4, and R = -981612.3. The initial values ​​and parameter values ​​are substituted into numerical solutions to the model simulated using maple as a tool.