Open AccessNumerical Solution of the Mathematical Model of DHF Spread using the Runge-Kutta Fourth Order Method
Author(s) -
Syafruddin Side,
Ahmad Zaki,
Miswar
Publication year - 2022
Publication title -
arrus journal of mathematics and applied science
Language(s) - English
Resource type - Journals
eISSN - 2807-3037
pISSN - 2776-7922
DOI - 10.35877/mathscience745
Subject(s) - runge–kutta methods , maple , mathematics , initial value problem , differential equation , value (mathematics) , order (exchange) , mathematical analysis , statistics , biology , botany , finance , economics
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.