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Numerical Solution of the Mathematical Model of DHF Spread using the Runge-Kutta Fourth Order Method
Department of Mathematics, Universitas Negeri Makassar, Makassar, Sulawesi Selatan, Indonesia, Indonesia
Department of Mathematics, Universitas Negeri Makassar, Makassar, Sulawesi Selatan, Indonesia, Indonesia
Department of Mathematics, Universitas Negeri Makassar, Makassar, Sulawesi Selatan, Indonesia, Indonesia
* Author to whom correspondence should be addressed.
ARRUS Journal of Mathematics and Applied Science 2022, 2(2), 92-100; https://doi.org/10.35877/mathscience745
Submission received: 2022-02-11 Published: 2022-12-31
(This article belongs to the Section Articles)
Abstract
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.
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Side, S., Zaki, A., & Miswar. (2022). Numerical Solution of the Mathematical Model of DHF Spread using the Runge-Kutta Fourth Order Method. ARRUS Journal of Mathematics and Applied Science, 2(2), 92–100. https://doi.org/10.35877/mathscience745
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